Cuddington (a small parish) and the adjacent parish of Haddenham seem to have had a strong baptist tradition and Tylers were in the forefront of this community. I found this:
http://www.biblicalstudies.org.uk/pdf/tbhs/03-1_036.pdf
There are some Tyler wills at Haddenham and I'm going back to Aylesbury during the week, so I might take a look.
The article is very interesting. There appears to have been three brothers residing in the Haddenham area in the 1730s - Peter Tyler, John Tyler and their brother Richard Tyler, Wheelwright.
Also, the name Rose crops up. A later Peter Tyler revived the movement locally and he writes about the early history.
"The church at Haddenham being small and without a pastor, Mr. Collett used his influence with them to have their little place properly invested in the hands of trustees, which was done in 1734. The two principal and most active trustees were Mr. John Rose and my great-grandfather, Mr. John Tyler, both of Haddenham."
Perhaps Mary Tyler's husband, Thomas Rose, also came from Baptist parents??