You can get an ID number to file taxes as a person that is out of status. I don't know if that will be enough to buy a house. I mean I'm sure that his name could be on the deed...but to get a mortgage he will probably need more than that. Especially the way that things are now....however, attorney the above attorney those state things that should be considered...good luck!
Dont you think your immigration status is worth more consideration than buying a house first if you are in illegal status.
What happens if you get deported?
Is it possible to buy a house without a valid SSN?
Just a thought.