One of the first items the assigned servicer of the mortgage will do is pay all property taxes so as to avoid any additional penalties or even a tax sale of the property
I usually use CRS and buy the deed. It's only $1. Then, I google whomever is on the note and call until I find the answer. It usually takes about 20 minutes to track down the right person.
Or, you could always have your title company help. I've had this issue come up so much that I just do it myself now instead of burdening my title company with all my little issues.
Hope that helps!
The best way to find an answer to the question is through a title company that can search the courthouse records for the most recent note owner of record. When one lender sells or transfers a note to another lender, there is documentation at the county level that attaches to the property deed.