what are alan s rights

Alan lives in a beachfront home, and one morning he discovers an adult woman who has washed up on shore and is unconscious. Alan takes her into his home and administers aid to her. She awakens after a few hours but has amnesia, not knowing who she is or how she ended up washed ashore on his property. Alan cares for her for two weeks, and then her memory returns. She fell overboard while sailing with her wealthy parents on their yacht. She tells him that her name is April, and she provides him with contact information for her parents. Naturally, when Alan calls, they are ecstatic. They tell Alan that they will fly in to pick her up the next day and that he should tally up his expenses and they will reimburse him for his costs. When they arrive, Alan gives them the cost sheet, which they refuse to pay. Does Alan have any rights against the parents? Does Alan have any rights against April?