Hi J Bakewell
I've checked the Parish Register transcription of All Saints Church Bakewell, Derbyshire for baptisms of actual Bakewells 1614-1841. These are the only ones I could find
BAKEWELL, Jane 16/05/1831 - no parents listed
BAKEWELL, Robert 22/01/1829, s/o BAKEWELL, John & Mary
BAKEWELL, Thomas 05/03/1830, s/o BAKEWELL. John & Mary
BAKEWELL, John 30/10/1831, s/o BAKEWELL John & Mary
Heather