I have an email for them, and already sent one.

I have another woman who lives in Manchester, Ohio inquiring about him. She says she's very interested. I asked for her vets #, or personal refrences, and if she could tell me a little about herself and maybe the hours she works. I feel like I was grilling her, but I want him to go to a good home.
Am I going about this in the right way? I just don't want to be kept hanging waiting for one to come through, if there is another home he could be going to.