Established sequence:
1> Thomas married Mabel and fathered several children
2> Mabel left him in 1796 (see) Mabel Burnham timeline
3> Thomas fathered several other children but no record is found for a mother (1806-1816)
4> Thomas marries Ruth Ames in 1820 Ruth Burnham
5> Ruth Ames bears Thomas a last child in 1821
What is not established is any record of Mabel having been the mother of the children born (1806-1816)
Betsey Burnham (1806- ?)
Stillman Burnham (1809- )
Thomas Burnham, Jr. (1812- )
Mary Cowdrey (1816-1879)
a whole lot more of sleuthing is needed :)