If they have prior felony or misdemenor convictions in a list of areas (sex offenses, drug-related charges, dishonesty / fraud, violence, child or elder abuse) they are not qualified.  

We personally have one, it was for our first child, who has long grown up.

You have an obligation to ALL landlords to train your tenant well and like a spoiled child you need to correct bad behavior.

My wife and child are the reason I made this decision.

However, it may just be a matter of waiting until spousal or child support kicks in, which can go through the courts surprisingly fast in some cases.    

Just that they were child abuse.

The guy could literally be a serial killer or child rapist in Mexico and you would never know.

@Lisa Hoyt, Find out what laws in your state say about adding a minor child to the lease or instead confirming her status as a long-term guest.

On rare turn overs, if I could get a small, young, upper middle class family in there with a child starting 1st grade ... well, that's a family who will likely stay there for the next 6 years (1st-6th grade) and in fact they would, and pay rent like clockwork, and take great care of the house because it was a home to raise their child in.

Since she is crossing state lines with a child that is not hers, do I need her to provide some proof of legal guardianship?