Yes, I agree with both posters above. That ferale has adopted your daughters family, or is by any reason convinced they had adopted him... They perhaps do give it some food and shelter? Or at least, leave much useful in the trash bin? Something it must be it is feeling to belong.The cat has adopted your daughter's family and will most likely continue to bring food supplies.
. Either way, fixing the cat is the best approach.
Good luck - and welcome to TSC.