Firstly, you are in era of the Commonwealth period of British History, and sometimes there is gap in record keeping and destruction of the same.
http://joinermarriageindex.co.uk/history-of-parish-registers/QUOTE;
1649-1653: Following the execution of Charles I an English republic was established and represents a period in English history known as the Commonwealth (1649-1653). The Commonwealth proper ended in 1653 with the establishment of Oliver Cromwell's Protectorate. The Commonwealth is a most difficult time period for those of us engaged in family history research because there are large gaps in the records - especially in parish registers. Ironically, it was Oliver Cromwell's intention in an act of 1653 to remedy poor record keeping in parish registers by placing the responsibility for the records in the hands of appointed officers called "Parish Registers". The records kept by Parish Registers became known as Civil Registers but many do not survive. After Charles II was restored to the throne in 1660, Registers were dismissed (some appear to have become parish clerks). Restored clergy in some areas confiscated the Civil Registers and destroyed them. Other clergy simply went around the parish writing down vital events by asking people to remember what had happened in the previous years. Because of the loss of the Civil Registers, this time period is sometimes referred to as the "Commonwealth gap" by family history researchers.This period, carried on for a few years after the specified dates.
Secondly, I would ask BucksFHS for a marriage search in thier database.
Thirdly, do not discount Warwickshire, as the County lines are quite close.
I have checked the OxFHS - Oxfordshire Marriage index. 1538-1837, and there is no marriage recorded for Joseph Piddington around that time.
Steve.
