No baptisms found, but a burial in 1811, at St Peter Stutton, for Rachael Peck, age 48. Nothing definite on father Joseph but a couple of possible clues;
20 July 1814 - Bury and Norwich Post - Bury St Edmunds, Suffolk, England
At Ipswich quarter-sessions, David Williams, tor stealing- wearing apparel from Mr. Goyrnour, ot Stonham ; and Joseph Peck , for the same offence, the property of Patrick Waldron, of the 5-Uh Regt. ot foot, were both sentenced to 7 years' transportation.
I can't find anything else on this case though

Another possibility; a prison hulk record for a Joseph Peck, aboard the York at Portsmouth, born abt 1765, charged with a misdemeanour in jan 1822 at Chelmsford essex, and sentenced to seven years transportation, he died 1827 in Portsmouth.
Jo