House is paid off mortgage co out of business how do I get lean relese live in indianapolis,Indiana

Who bought out or took over from the loan company.

After they went out of business, who did you keep paying

If it was a Federal Reserve bank, try http://www.ffiec.gov/nic/
If it was a just a mortgage co, check with the IN.gov website, AG's office of Consumer Affairs.

Did the mortgage company own the mortgage or was it simply servicing the loan?

A mortgage company doesn't just shut it's doors one day and the "owner" walk away. There would be some entity, a receiver, federal corporation, etc. (Fannie Mae, Freddie Mac, etc.) which succeeds to the assets. I would contact one of those entities.