I personally would not take them. My reasons:
- I do not take children with food allergies
- They're asking you to open earlier than your normal hours of operation
- She (the mom) seems like a pain in the rear end, and her daughter sounds like no angel

Did she give you a reason as to why the daycare stopped caring for her daughter? I would definitely want to know. Especially why it was done via text. I would also ask for references, and want to talk to the person who cared for her previously.

I have pride in my home and in my business. I don't take just anyone. I have to feel comfortable on who comes into my home.

Don't feel discouraged. I wasn't 'full' in my home daycare until a whole year after I opened! But...I am picky on who comes into MY home.

Good luck!