I was able to fix this issue using the information on this website:
http://www.programmingtidbits.com/post/2013/01/05/Setting-WPF-Window-to-be-Always-on-Top.aspx
The key was handling the LostFocus event.
http://www.programmingtidbits.com/post/2013/01/05/Setting-WPF-Window-to-be-Always-on-Top.aspx
The key was handling the LostFocus event.