Edmund Barton of the parish of Preston and Ellen Dickenson of this chapelry married in this chapel by banns the 3rd July 1809, witnesses Robert Dickinson and John Valentine.
Other children of Edmund and Ellen baptised at Kirkham:
William 11 Feb 1816, abode Lea, occupation weaver
John 17 Dec 1820, abode Lea, occupation weaver
Oooh, there is a baptism at Kirkham of a Thomas Barton 10th Jan 1808, son of Edward and Jane. This is on ancestry, not sure if you will be able to view it :
Thomas Barton baptism
Eighth entry on the right-hand page. The "abode" column is pretty faint but I think it says Lea.
I'm not sure whether Jane died soon after Thomas was born and Edward / Edmund remarried to an Ellen, or if Edmund and Ellen are one big red herring! Unfortunately their marriage does not show whether Edmund was a widower.
But in any case, this baptism looks likely for your Thomas, don't you think, given that an Edward is with him on the 1841 census?