J2SE Version (please include all output from java -version flag):
java version "1.6.0_07"
Java(TM) SE Runtime Environment (build 1.6.0_07-b06)
Java HotSpot(TM) Client VM (build 10.0-b23, mixed mode, sharing)

Does this problem occur on J2SE 5.0.x or 6.0? Yes / No (pick one)
Yes

Operating System Configuration Information (be specific):
Microsoft Windows XP [Version 5.1.2600]

Bug Description:
RFE: Ability to change Z-Order for Always on Top Windows

We have two windows which we need to always be on top of all the other windows (so we
call setAlwaysOnTop(true) on both of them). The problem is that we also need for one
of these two windows to always be on top of the other one.