Hi Rooster
I did this when my PH up sticks and walked out. Tried to get his name "taken off" (with his permission) but was told I couldn't afford it. Kept his name on for 3 years whilst paying the mortgage on my own - re-applied and they still said I couldn't afford it. Finally got a sympathetic lender to give me a mortgage on the basis of the 3 years proof.
Ex-OH signed a transfer of Equity form (so that he wasn't entitled to any - a requirement by the lender) but we did need a solicitor, which he paid for.
So its gonna cost whatever.
Good luck
x