The Parsons book listed in the sources is online. It has William as the father of Charles and Thomas. In one place it says he came from Prussia via Holland and in another it says he clearly has English roots. I'd say the latter was more likely. But based on that book all of the wives are missattributed to him. I would say there is a case for stripping this back to what can be proven, which is probably not too much.
Like all of us with early American forebears we have to be really careful not to embellish. Sometimes the gaps just have to remain as unknowns, frustrating though that is.