Hi Jim,This might seem harsh but,If the females future bothers you, say a prayer for her and make a donation to your local No-Kill Shelter for Animals--She's an adult and can fend for herself--and you have a business to run.It's best to not get interpersonal with the renters--they ALL have some problem or another--they are Adults and will have to sort them out for themselves. 

ESA stands for an emotional support animal."

Not that it really matters because the issue is not a shortage of jobs, it's a shortage of people willing to live like animals so we can get our burgers 30 seconds faster.  

I know all this because recently a repair was done in both units, and the one apartment is nicely kept, and the other apartment is not nicely kept at all and they have an extra animal.

Do you serve notice at 1 unauthorized animal?

I've had animals all my life, including cats, and they will virtually never eat a mouse despite Tom and Jerry cartoons.

Cats I couldnt catch and animal control will be coming tommorow.

There's a difference between vandalism and negligence; the latter is not usually criminally actionable when it comes to non-animated property (i.e. a car or a house versus a little kid or a pet). 

Any animals should be crated or removed from the property.Hide or remove valuables, weapons, prescription medications, or anything that someone may be tempted to stealYour lease transfers with the sale.

Dogs must be crated during the times when no animal caregiver is at home.