Hi,
I can see this transcription, which shows his parents as William and Elizabeth,
Thomas CACHPOOLE
Born: 04 Jun 1813
Baptism: 30 Jun 1813
Hayton, Nottinghamshire
Denominatio: Anglican
Residence: Hayton
Father: William CACHPOOLE
Mother: Elizabeth
Father's occupation: Soldier
I wonder if this could be them?
22 Sep 1804
Saint Mary, Kingston Upon Hull, Yorkshire
William CATCHPOLE
Elizabeth RAYNER
but there is also this,
Christening
25 Dec 1785
Hayton, Nottinghamshire
Elizabeth RAYNOR
Parents: Thomas and Sarah
Could this be the same Elizabeth?
Just ideas to think about

Regards,
Daisy