Yes, I invited her to come to visit, otherwise she would never have got her
visa to US, you need an invitation letter
for that. But she had the means to come
for her own expenses mostly. So I guess that complicates the answer to questions 2&3. I would believe there will be a lot of difficulties for the hospital in trying to pinpoint from where she came and how to link her to me legally..
Frankly, I do not feel well of not paying someone for the services they rendered.