You have two issues:
- finding their marriage, which in all probability will not give you fathers' names
- finding their baptisms from which you will learn their parents' names
1. The IGI shows 10 children baptised, all in
Caddington, the first in May 1819, so the marriage was probably 1818/19.
Abraham
Punter married Elizabeth
Cowper at Flamstead Herts on 31 Dec 1818 (per BVRI). You need to check the microfilm at your nearest Family History Centre of the LDS, or at
Hertford, to get any extra detail on the entry, such as witnesses who may provide a clue as to Elizabeth's background in particular (see below)
2. In 1851
Abraham aged 61 gave his birthplace as
Caddington, and Elizabeth 53 gave hers as Stopsley (in 1861 Elizabeth widow gave her age as 65 born Ramridge End, which is in Stopsley)
The IGI at
www.familysearch.org has a baptism of an
Abraham Punter in
Caddington in 1791 which looks like yours. Parents William and Sarah. At that time Stopsley was a hamlet of
Luton but I can't see a baptism in
Luton at the right time of an Elizabeth
Coo(w)per - I assume you got her name from the birth certificate of one of her younger children.
The children who appear in 1841 and 1851 all have their birthplace as Herts or Markyate/Flamstead. It doesn't look as though they ever lived in
Caddington, despite baptising all ten children there.
David