[Picus]

Your lender may or may not change the information; it'll depend on if they want to loan to your wife sans your income, etc. If not, you'll need to get a loan from another bank (doesn't have to be a car loan, just a loan) then pay off the current loan with that money. The only issue there is the interest rate may be higher or the term longer.

Either way, good luck. Sorry to hear about the divorce.