diff --git a/menu.go b/menu.go
index 49528dc..620227e 100644
--- a/menu.go
+++ b/menu.go
@@ -18,23 +18,28 @@ type Menu struct {
 }
 
 // NewMenu creates a new menu with the specified items. The menu will appear
-// directly under the anchor Object. If the anchor is nil, it will appear
-// directly under the mouse pointer instead.
-func NewMenu (anchor tomo.Object, items ...tomo.Object) (*Menu, error) {
-	menu := &Menu { }
-	if anchor == nil {
-		// TODO: *actually* put it under the mouse
-		window, err := tomo.NewWindow(menu.bounds)
-		if err != nil { return nil, err }
-		menu.Window = window
-	} else {
-		menu.bounds = menuBoundsFromAnchor(anchor)
-		menu.parent = anchor.GetBox().Window()
-		window, err := menu.parent.NewMenu(menu.bounds)
-		if err != nil { return nil, err }
-		menu.Window = window
-	}
+// directly under the mouse pointer.
+func NewMenu (parent tomo.Window, items ...tomo.Object) (*Menu, error) {
+	bounds := (image.Rectangle { }).Add(parent.MousePosition())
+	return newMenu(parent, bounds, items...)
+}
 
+// NewAnchoredMenu creates a new menu with the specified items. The menu will
+// appear directly under the anchor.
+func NewAnchoredMenu (anchor tomo.Object, items ...tomo.Object) (*Menu, error) {
+	parent := anchor.GetBox().Window()
+	bounds := menuBoundsFromAnchor(anchor)
+	return newMenu(parent, bounds, items...)
+}
+
+func newMenu (parent tomo.Window, bounds image.Rectangle, items ...tomo.Object) (*Menu, error) {
+	menu := &Menu { }
+	menu.bounds = bounds
+	menu.parent = parent
+	window, err := menu.parent.NewMenu(menu.bounds)
+	if err != nil { return nil, err }
+	menu.Window = window
+	
 	menu.rootContainer = tomo.NewContainerBox()
 	menu.rootContainer.SetAttr(tomo.ALayout(layouts.ContractVertical))
 
@@ -74,6 +79,7 @@ func (this *Menu) TearOff () {
 	this.Window.Close()
 
 	this.rootContainer.Remove(this.tearLine)
+	this.rootContainer.SetTag("torn", true)
 	
 	this.Window = window
 	this.Window.SetRoot(this.rootContainer)
diff --git a/menuitem.go b/menuitem.go
index 7049093..6ab84bf 100644
--- a/menuitem.go
+++ b/menuitem.go
@@ -20,10 +20,15 @@ type MenuItem struct {
 
 // NewMenuItem creates a new menu item with the specified text.
 func NewMenuItem (text string) *MenuItem {
+	return NewIconMenuItem(tomo.IconUnknown, text)
+}
+
+// NewIconMenuItem creates a new menu item with the specified icon and text.
+func NewIconMenuItem (icon tomo.Icon, text string) *MenuItem {
 	box := &MenuItem {
 		ContainerBox: tomo.NewContainerBox(),
 		label:        NewLabel(text),
-		icon:         NewIcon("", tomo.IconSizeSmall),
+		icon:         NewIcon(icon, tomo.IconSizeSmall),
 	}
 	box.SetRole(tomo.R("objects", "MenuItem"))
 	box.label.SetAttr(tomo.AAlign(tomo.AlignStart, tomo.AlignMiddle))
@@ -49,8 +54,7 @@ func (this *MenuItem) SetText (text string) {
 // SetIcon sets an icon for this item. Setting the icon to IconUnknown will
 // remove it.
 func (this *MenuItem) SetIcon (id tomo.Icon) {
-	if this.icon != nil { this.Remove(this.icon) }
-	this.Insert(NewIcon(id, tomo.IconSizeSmall), this.label)
+	this.icon.SetIcon(id, tomo.IconSizeSmall)
 }
 
 // OnClick specifies a function to be called when the menu item is clicked.