Some further information ...
There is a PMT on the Ancestry website which has a baptism for a John CUDD (married to Hannah BOICE) on 24 DEC 1702, son of Edward. According to the Family Search website, this baptism took place in Corley, Warwickshire. However, this John CUDD was buried four years later in Corley.
There are, however, two burials at St. Peter's, Dunstable, Bedfordshire, which may warrant further investigation (unfortunately, no ages are given):
26 OCT 1766 - Han CUDD ("poor old woman")
16 NOV 1766 - Jn CUDD ("the Workhouse man")
St. Peter's parish records are available to view (free) on the FreeREG website and there are other CUDD entries which you may find of interest.
Pennie