Daniel Hale Flint b. Dec. 13, 1863 was the 5th child of Daniel Flint, b. Feb. 19, 1826; m. March 9, 1854, Sarah E. Linfield. Other children of Daniel and Sarah (Linfield) Flint were Lora May, Charles Fremont, Flora Elizabeth, Flora Minnie, Sherwin Martin, Irving Adams, and Marion Linfield. I see no wife or children listed for Daniel Hale Flint, but that is not unusual if he left Braintree, VT before marriage.
Daniel Flint (1826) was son of Nathaniel (b. February 29, 1796) who m. April 5, 1821 Polly Nichols;
Nathaniel (1796) was son of Daniel b. Hampton Conn, Dec. 7, 1761; m. Elizabeth Martin who was b. December 24, 1761 and d. October 24, 1804.
Nathaniel (1761) was son of Nathaniel Jr. b. September 5, 1720 & his 2nd wife, Mary Hovey whom he m. July 3, 1751 and who was b. in Hampton Conn. May 15, 1726.
Nathaniel Jr. was son of Nathaniel b December 11, 1688 who was son of Joseph b. December 11, 1688 and Abigail Howard, who was son of Thomas the immigrant who settled at Salem Village. Sure hope this is your Daniel.