We paid off our home, been recorded with full reconveyance from
Assessor-County Clerk-Recorder. Is there a Title of Ownership we
should have?

Sometimes, the mortgage company will forward you a copy of the (paid
in full)/recorded deed. Which is used to provide (proof of ownership)
You can call them and ask for a copy; they may be able to provide a
copy of it to you for a small fee. Otherwise, just go to the county
recorders office to obtain a copy. Going to the county would be (most
likely) the fastest way to get the copy you want/need. It can take up
to 90 days for your mortgage company to satisfy the lien at the county
(depending on your states requirements) after you make a full payoff.
So, you may first want to confirm that the lien has been recorded a.
by going/calling to the county, b. call the mortgage company to
confirm before jaunting down to the county...

...Its not unusual for mortgage company's to be "slow" about the
release/recordation process.
 
I am not a google researcher, just have a lot of experience in the
mortgage/loan industry.