your name will now be linked to both of themAnd the only upside to you is that you retain a tenant who may or may not be committing fraud, and who may then continue that behavior in his/her dealings with you.I see no upside to your inserting yourself into a situation like this, but plenty of downside

That's not an excuse for her behavior.

Some will want to be buddies so that they can get different behavior, don't fall for it!  

Also included is a statement submitted to the police regarding Mr P's behavior.

I'm not sure I'm comfortable with my personal information being displayed.  

I now find it difficult to trust a company with such questionable behavior moving forward.

You need to check with a local attorney because the laws in your state may differ from ours.In general,contractors are not usually legally responsible for theft that occurs on your property unless you can prove legally negligent behavior on the contractors part.You should read the contract you signed to see if they have a limited liability clause,if any.

You might get some extra witnesses, so that you can prove a pattern of behavior.

It took years to change my behavior even though I had convinced everyone that I had changed almost immediately after I was arrested.

By simply walking the tenant through the issue (do you use anything on your display?