Authentication failing for name in different domain

I have a bit of httpunit code which uses setAuthentication to set the login name and password for the site I'm running against.  However...the name is on a domain we'll call DomainA and the name we'll call MyName.  If I were using my browser when logging in I would type DomainA\MyName.  When I run the app that uses httpunit I can just leave the domain blank provided I'm running from DomainA because windows will default to DomainA as long as I'm on it.
The problem arises when I try running from DomainB.  Now it will try authenticating using DomainB\MyName which won't work because my name only authenticates through DomainA.
How am I supposed to specify DomainA?  I thought the realm parameter of setAuthentication sounded promising but I didn't have any luck.  I also tried setting the name as "DomainA\MyName" but again no luck.
Anyone know what I could be doing wrong or if this is even possible?
Thanks,Jared
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