This a long shot but I have a Mary Caulkins (father was David Caulkins)who married (first name unknown) Dealing. They had three daughters, two of whom were Flora and Liza Dealing. Mary Caulkins Dealing had a sister named Phoba Caulkins. She married (John ?) Shaw. My line runs from Phoba. The first dates I have are for Phoba and ? Shaw's daughter Lydia Shaw(b. 14 Apr.1796, d. 9 Sept. 1849) and buried in Corinth Rural Cem., Corinth, NY. She married James Sturdevan.
I realize this is a stretch but the name Dealing is not common.