The first member of this family I could find was William Cotton who married Elizabeth Gregory in Banbury in 1758. There are records for the christening of two sons, William (12-5-1761) and Thomas (3-31-1768). I found marriage records for William Cotton and Sarah Chamberlain in 1788 and Thomas Cotton and Sarah King in 1793. I assumed these were William and Elizabeth's sons but then discoved burial records for several of their children; Samuel (11-15-1768), Richard (11-20-1768), another Samuel (2-2-1772) and William (7-9-1772). Since William Jr. died at age 10, the marriage of William Cotton to Sarah Chamberlain must be a second marriage for the elder William. There was also a Robert Cotton who appears to be a member of this family. He was the one who moved to Salford, Lancashire. Thomas and Robert are both listed as boat builders as are at least three of Robert's sons.
Thomas Cotton and Sarah King had four children that I know of - Harriett, Thomas, Amelia, and Holford. It is this last son that makes me think this family is linked to a Leicestershire family. William Cotton, rector of Broughton Astley in Leicester married Elizabeth Halford (or Holford). They had five children - William, Holford, Charles, Judith, and Shuckburgh. Shuckburgh became rector of the church in Newton Purcell, Oxfordshire. His first son Holford died at age seven and a later son also named Holford was vicar of Adderbury just a few miles south of Banbury. Another son of Shuckburgh, Charles, named his son Charles Holford Cotton. I've never come across Holford as a given name anywhere else so I think the William Cotton who married Elizabeth Gregory in Banbury was probably a son or grandson of one of Shuckburgh Cotton's older brothers, William, Holford, or Charles. I am just trying to find out if anyone has any info on William's origins.
Thanks for responding.