At the moment I'm on the same page as you - George was not christened or married as a SAYSOM - perhaps this was his mothers maiden name, or just one taken at random !

he could be

Year 1839
Month Oct
Day 19
Parents Surname FIELDS
Child Forenames George William
Fathers Forenames [not stated]
Mothers Forenames Helen Sophia
Mothers Surname
Residence Little Dean
Occupation [not stated]
Officiating Minister J Parsons Curate
Event Baptism
Memoranda Illegitimate son
Notes
Register Reference P110 IN 1/6
Page Number 22
Parish Chapel Littledean

Year 1844
Month Jan
Day 26
Parents Surname JONES
Child Forenames George Brudges
Fathers Forenames [not stated]
Mothers Forenames Sarah
Mothers Surname
Residence Little Dean
Occupation [not stated]
Officiating Minister J Parsons Curate
Event Baptism
Memoranda Illegitimate son
Notes
Register Reference P110 IN 1/6
Page Number 46
Parish Chapel Littledean