You don't have to put the details on this site. Protect yourself by all means.

However, can you possibly ask the parent to provide you with the names and phone numbers of the past caregivers so you can give them a call and chat? Then you can get a good feeling if the old caregivers were not of good quality or you will find out if the parents took off without paying them or didn't respect them in some other way. I don't see how you could insult the family by asking for these references. You are providing references I'm sure for them after all.