Hi Bolt
Agree with AJ, but here is my understanding of the situation.
You are not liable for your husband's tax liabilities.
As the house is in your name, and you are not liable, the Revenue can't come after your house.
Your solicitor will have to advise you on whether your husband has a claim to the family home as part of the separation agreement. The court could take the view that family assets and liabilities should be split. I would be very surprised if he claimed this and if the court would support any such claim. Anyway, you only own half the home, so he could really only claim half of your half, in the unlikely event, that he had a claim.
I am surprised that you were not jointly assessed when he had an income and had none. I don't know if it's possible to review this now and thus reduce his tax liability.
Brendan