I may have met an offspring of JFK a few years ago

Weird story!.. I used to work at a hotel in Eldon Missouri. Our county sheriff's office would drop released inmates off at the gas station across the street to find their own way back to Springfield Mo on their own (2 hours away) (Which I think was shitty) A lot of those people would come over and ask to use our phone. One night a real uncuth, crazy outcast of a lady came in and she wasn't like everyone else that asked for help, it's like she had no plan, no concern, no questions. She would just come bug us and talk and talk, then go walk around the halls aimlessly barefooted. I had to call a deputy to come do something with this lady. She still appeared every once in a while. One time she told my co-worker friend that she was JFK's daughter. She rattled off other names and my friend looked those names up and they were associated with Kennedy. We laughed this off at first. But then my friend was like you know, she does look like him. I though about it and I was like wow, yeah she really does. She had the same eyes, cheekbones, lips, and even teeth. Actually, she looked more like him than his own kids do. She looks like both JFK and RFK his brother. I'm thinking it REALLY is his child. I've tried to research if he had any unknown kids out there, but didn't see anything about her. Now I'm wondering who her mother was, how did she end up homeless in Springfield Missouri. This was about 10-11 years ago and she looked like she was around 60 or so.