Binding Related Control From Markup?

I have a control that looks along the lines of this:

public class MyControl : Control
{
[Bindable(true)]
public MyControl MyControlParent { get; set; }
// snip
}

In my markup I want the following:

<tag:MyControl ID="foo" runat="server">
<tag:MyControl ID="bar" MyControlParent="foo" runat="server"></tag:MyControl>
</tag:MyControl>

The reason for me wanting to be able to name a parent like this is because I would also like to be able to do something like this:

or

<tag:MyControl ID="foo" runat="server">
<tag:MyControl ID="foobar" runat="server">
<tag:MyControl ID="bar" MyControlParent="foo" runat="server"></tag:MyControl>
</tag:MyControl>
</tag:MyControl>

or

<tag:MyControl ID="foo" runat="server"></tag:MyControl>
<!-- snip -->
<tag:MyControl ID="bar" MyControlParent="foo" runat="server"></tag:MyControl>

I've tried adding a type converter, but it fires before HttpContext.Current.Handler is set which means I can't search the page controls for the desired MyControl instance. Parent-child relationship in this control imparts certain inheritance of property values and doesn't (read shouldn't) necessarily imply a parent-child relationship in the control tree.