According to 1851 census John Wilkinson age 61 wife Phoebe. born Tipton, Staffordshire. Not Warwickshire. He was noted as age 46 in 1841.
Several baptisms around that time but the one possibility I can find is at SAINT THOMAS, DUDLEY, WORCESTERSHIRE, this is near to Tipton and is a unique piece of Worcestershire.
John Wilkinson baptised 9 May 1790 parents Edward Wilkinson & Mary.
Worth a check but I have been known to be wrong.
Colin