Don't be discouraged! Things are rarely as clear cut as we'd wish them to be. My family tree is full of unanswered questions and contradictions to be sorted out, but it's also true that many questions have been answered and contradictions resolved over years of research. I would definitely consider the Reynolds chart information as questionable. Much of what's there is unsourced, and when a source is provided, it's often just another family tree that has no sources. A lot of what's on there is guesswork. If you can ever chase these things down to an actual source, you'll discover whether the guess was a plausible one or just something copied from something copied, etc. Some of the well-researched books also contain errors or simply add to the confusion. It's unfortunate that find-a-grave also is a source of many errors, and those errors are repeated and reproduced all over the web.
I've often had to correct information that I thought was reliable but that later research disproved. It DOES become more frustrating as you go along, but the frustration is offset by the mysteries that you do solve, and the reliable information that you do find. My branch of the Tyson family lived in Reading, for the most part, but appears to have originated with the Skippack Tysons - although I can't yet absolutely prove the connection. I'll put your Sarah Fry Tyson on my research list and will get back to you if I come up with anything helpful. Don't give up! Sometimes, when you hit a brick wall like this, it's helpful to just work on one of the other mysteries in your tree and come back to it in a few weeks or months. More information is turning up on the web all the time, and it's happened to me more than once that something I puzzled over for years was suddenly cleared up with a single bit of information that appeared on the web.
