I believe this birth record
https://www.wikitree.com/photo/jpg/Wilson-34550
may be showing the birth of my 5-great-grandmother Elizabeth Wilson. The image is of a page of the Swansea, Mass. town books (sent to me by the Swansea town clerk, with permission given to publish it).
Elizabeth's gravestone says she was born in 1760. Her adopted mother and later sister-in-law stated in testimony that Elizabeth's father was James Wilson of Swansea. The above-linked record of Elizabeth born to James and Ruth at Swansea seems to say she was born 27 November 1763, which is close to 1760, so okay.
There's a problem: Elizabeth definitely married in 1775 and recorded a child in 1777. That makes 1763 a little unbelievable. 1760 works a lot better.
But there's an out -- the record appears to say
"Born :November :ye: 27: 1763: a Wednesday"
(That is also how Rounds transcribed the record in his book of transcriptions.) November 27 of 1763 was not a Wednesday, nor was November 27 of 1760, 1761, 1762, or 1764.
Also, James and Ruth recorded two other children at Swansea: Agnes in 1759 and William May Wilson on 5 August 1763, "a Fryday" (and that really was a Friday).
William was born just four months before Elizabeth's purported birthdate.
I don't see another way to read the handwriting that makes Elizabeth's record internally consistent (i.e., it really was a Wednesday) and consistent with the birth of a brother in August of 1763. So I believe it was just recorded wrong.
But I'm throwing this out here in case one of the experts can come up with an explanation I'm missing.