diff --git a/src/main/java/org/saturnclient/ui/ElementContext.java b/src/main/java/org/saturnclient/ui/ElementContext.java
index c9c3638..d78f6cf 100644
--- a/src/main/java/org/saturnclient/ui/ElementContext.java
+++ b/src/main/java/org/saturnclient/ui/ElementContext.java
@@ -1,24 +1,54 @@
 package org.saturnclient.ui;
 
 public class ElementContext {
+    /**
+     * Where a container's children are drawn: the screen position of their
+     * (0, 0), and the part of the screen, top to bottom, where they can be seen.
+     */
+    public record Frame(int x, int y, int visibleTop, int visibleBottom) {
+        /** The whole screen, for top-level elements */
+        public static final Frame SCREEN = new Frame(0, 0, Integer.MIN_VALUE, Integer.MAX_VALUE);
+    }
+
     public int mouseX, mouseY;
     /** The element's top-left corner on the screen, for placing popups next to it */
     public int originX, originY;
+    /** The part of the screen, top to bottom, where the element can be seen */
+    public int visibleTop, visibleBottom;
     public int elementWidth, elementHeight;
     public float elementScale;
     public long elapsed;
 
-    public ElementContext(long elapsed, int mouseX, int mouseY, int parentX, int parentY, Element e) {
+    public ElementContext(long elapsed, int mouseX, int mouseY, Frame frame, Element e) {
         this.mouseX = mouseX - e.x;
         this.mouseY = mouseY - e.y;
-        this.originX = parentX + e.x;
-        this.originY = parentY + e.y;
+        this.originX = frame.x() + e.x;
+        this.originY = frame.y() + e.y;
+        this.visibleTop = frame.visibleTop();
+        this.visibleBottom = frame.visibleBottom();
         this.elementWidth = e.width;
         this.elementHeight = e.height;
         this.elementScale = e.scale;
         this.elapsed = elapsed;
     }
 
+    /**
+     * The frame for this element's children, drawn {@code dx}, {@code dy} from
+     * its corner and seen only between {@code clipTop} and {@code clipBottom}
+     * (relative to its corner).
+     */
+    public Frame childFrame(int dx, int dy, int clipTop, int clipBottom) {
+        return new Frame(originX + dx, originY + dy,
+                Math.max(visibleTop, originY + clipTop), Math.min(visibleBottom, originY + clipBottom));
+    }
+
+    /**
+     * The frame for children drawn at this element's corner and not clipped.
+     */
+    public Frame childFrame() {
+        return new Frame(originX, originY, visibleTop, visibleBottom);
+    }
+
     public boolean isHovering() {
         return Utils.isHovering(mouseX, mouseY, elementWidth, elementHeight, elementScale);
     }
diff --git a/src/main/java/org/saturnclient/ui/ElementRenderer.java b/src/main/java/org/saturnclient/ui/ElementRenderer.java
index 4dade83..ec2cd96 100644
--- a/src/main/java/org/saturnclient/ui/ElementRenderer.java
+++ b/src/main/java/org/saturnclient/ui/ElementRenderer.java
@@ -15,15 +15,14 @@ public class ElementRenderer {
     }
 
     public static void render(List<Element> elements, long elapsed, RenderScope renderScope, int mouseX, int mouseY) {
-        render(elements, elapsed, renderScope, mouseX, mouseY, 0, 0);
+        render(elements, elapsed, renderScope, mouseX, mouseY, ElementContext.Frame.SCREEN);
     }
 
     /**
-     * Renders elements whose parent's top-left corner is at
-     * ({@code parentX}, {@code parentY}) on the screen.
+     * Renders a container's children within its {@code frame}.
      */
     public static void render(List<Element> elements, long elapsed, RenderScope renderScope, int mouseX, int mouseY,
-            int parentX, int parentY) {
+            ElementContext.Frame frame) {
         for (Element element : elements) {
             element.playAnimationFrame(elapsed);
 
@@ -31,7 +30,7 @@ public class ElementRenderer {
             renderScope.setOpacity(element.opacity);
             renderScope.getMatrixStack().translate(element.x, element.y);
             renderScope.getMatrixStack().scale(element.scale, element.scale);
-            element.render(renderScope, new ElementContext(elapsed, mouseX, mouseY, parentX, parentY, element));
+            element.render(renderScope, new ElementContext(elapsed, mouseX, mouseY, frame, element));
             renderScope.getMatrixStack().pop();
         }
     }
diff --git a/src/main/java/org/saturnclient/ui/Popup.java b/src/main/java/org/saturnclient/ui/Popup.java
index 14859ea..c487e4f 100644
--- a/src/main/java/org/saturnclient/ui/Popup.java
+++ b/src/main/java/org/saturnclient/ui/Popup.java
@@ -37,20 +37,25 @@ public final class Popup {
     }
 
     /**
-     * Opens {@code popup} just below its owner, or above it when there isn't
-     * room below.
+     * Opens {@code popup} just below its owner if it fits in the part of the
+     * screen where the owner can be seen, such as a scroll's box; otherwise
+     * above it if it fits there, or else on the side with more room.
      *
-     * @param originX the owner's top-left corner on the screen
-     * @param originY
+     * @param ownerContext the owner's context from its last render
      */
-    public static void openBelow(Element owner, Element popup, int originX, int originY) {
-        int y = originY + owner.height + OWNER_GAP;
+    public static void openBelow(Element owner, Element popup, ElementContext ownerContext) {
+        int top = Math.max(ownerContext.visibleTop, SCREEN_MARGIN);
+        int bottom = Math.min(ownerContext.visibleBottom, screenHeight - SCREEN_MARGIN);
 
-        if (y + popup.height > screenHeight - SCREEN_MARGIN) {
-            y = originY - OWNER_GAP - popup.height;
-        }
+        int below = ownerContext.originY + owner.height + OWNER_GAP;
+        int above = ownerContext.originY - OWNER_GAP - popup.height;
 
-        open(owner, popup, originX, y);
+        boolean fitsBelow = below + popup.height <= bottom;
+        boolean fitsAbove = above >= top;
+        boolean moreRoomBelow = bottom - below >= ownerContext.originY - OWNER_GAP - top;
+
+        int y = fitsBelow || (!fitsAbove && moreRoomBelow) ? below : above;
+        open(owner, popup, ownerContext.originX, y);
     }
 
     public static void close() {
diff --git a/src/main/java/org/saturnclient/ui/components/inputs/Select.java b/src/main/java/org/saturnclient/ui/components/inputs/Select.java
index fd67806..e5f6cfc 100644
--- a/src/main/java/org/saturnclient/ui/components/inputs/Select.java
+++ b/src/main/java/org/saturnclient/ui/components/inputs/Select.java
@@ -21,8 +21,8 @@ public class Select extends Element {
 
     private final SelectProperty prop;
 
-    /** Where this was last drawn on the screen, to open the list under it */
-    private int originX, originY;
+    /** The context this was last drawn with, to open the list next to it */
+    private ElementContext lastContext;
 
     public Select(SelectProperty prop) {
         this.prop = prop;
@@ -32,8 +32,7 @@ public class Select extends Element {
 
     @Override
     public void render(RenderScope renderScope, ElementContext ctx) {
-        originX = ctx.originX;
-        originY = ctx.originY;
+        lastContext = ctx;
         boolean open = Popup.isOpenFor(this);
 
         Field.drawBox(renderScope, width, height, ctx.isHovering(), open);
@@ -55,6 +54,6 @@ public class Select extends Element {
             Popup.close();
         });
 
-        Popup.openBelow(this, list, originX, originY);
+        Popup.openBelow(this, list, lastContext);
     }
 }
diff --git a/src/main/java/org/saturnclient/ui/elements/AnimationStagger.java b/src/main/java/org/saturnclient/ui/elements/AnimationStagger.java
index edbd87f..80dba99 100644
--- a/src/main/java/org/saturnclient/ui/elements/AnimationStagger.java
+++ b/src/main/java/org/saturnclient/ui/elements/AnimationStagger.java
@@ -42,8 +42,7 @@ public class AnimationStagger extends Element {
         ElementRenderer.render(children, ctx.elapsed, renderScope,
                 ctx.mouseX,
                 ctx.mouseY,
-                ctx.originX,
-                ctx.originY);
+                ctx.childFrame());
     }
 
     @Override
diff --git a/src/main/java/org/saturnclient/ui/elements/Scroll.java b/src/main/java/org/saturnclient/ui/elements/Scroll.java
index d7d6940..4726555 100644
--- a/src/main/java/org/saturnclient/ui/elements/Scroll.java
+++ b/src/main/java/org/saturnclient/ui/elements/Scroll.java
@@ -81,8 +81,7 @@ public class Scroll extends Element {
         ElementRenderer.render(children, ctx.elapsed, renderScope,
                 ctx.mouseX - padding,
                 ctx.mouseY - padding + offset,
-                ctx.originX + padding,
-                ctx.originY + padding - offset);
+                ctx.childFrame(padding, padding - offset, padding, height - padding));
 
         renderScope.getMatrixStack().pop();
         renderScope.disableScissor();