Hi loneparent, so you went from not working for 7 years to getting 78k per year (I assume that's gross). That is impressive!
Whether they allow you to take over the mortgage in your own name is completely based on your income, how steady they see your job as being, how much is outstanding on the house and your other debts.
You would obviously need to send them the valuations for the house (at least 2) as part of the application to take his name off. So the valuations are key really. If they show, as you seem to imply, that the house is in positive equity and if you have a permanent job that you've been in for over 1 year with a salary of 78k and can easily make the monthly repayments, I would say you're in with a good chance.
However all your other debts could count against you - although you seem to have them all restructured down to manageable monthly amounts. Best of luck