"Thomas birth date = 21 Jun 1625 as recorded in Huntington Quaker Meeting House records"
The Quakers weren't founded until the mid 17th century, George Fox himself was not born until 1624. Any marriages for the parents and baptisms for a person born in around 1625 will have take place in the parish church.
The profile for William https://www.wikitree.com/wiki/Beals-103 trots around England and into Wales with suggestions. Needle in haystack comes to mind
Edit, did some more looking up because worried about dates.
Thomas the son has a death date of 1654, and link to a findagrave page saying he was buried in the cemetery of the Huntingdon Pennsylvania Meeting House. But this site, says that this meeting house wasn't founded until 1746 .
The page also mentions a William Beal living there in the 1760s.