I know you like the family and want to make it work for them. I really think that you just need to let her know what you have available right now and if she wants it then great, if not then advertise for it. The thing is you could make all these exceptions for this family and then they might end up leaving for some reason.

Everything works out as it was meant to be. Don't make exceptions for families. Look after yourself and your family first and foremost.