I am happy to share that based on member feedback directly to my question, the answer is yes, you can contact the mortgage company that a Notice of claim, and / or extension is recorded on the deed.

Also with the research I conducted with Bank companies, they will often pay the total assessments and costs and then add that bill to the owner with the mortgage.

Whereas some banks will just transfer / assign their mortgage to another company due to the delinquent member's bad debt. The next level of that owner in assignment of their mortgage who doesn't pay their mortgage payments goes into foreclosure.