In the History and Genealogy of the Families of Old Fairfield Volume 2 an Ebenezer Spicer is mentioned. I don't know if this is 'our' Ebenezer.

" ...Blackman; gr. son Ebenezer Spicer; gr. son William Odel (under 21); son John. Nehemiah Smith Odell of Fairfield, and Edward Blackman and Eunice his wife and Ebenezer Spicer and Abigail his wife, all of Stratford, conveyed 1760 a right at Mill Hill that descended to them and Sarah Odell lately deceased as children of Abigail, dau. of Samuel Smith dec'd.

Adm'n on estate of Sarah, widow of William, granted to Nathan Wheeler, 5 Apr. 1793.

Children [by first wife]:

Nehemiah, b. abt. 1719, d. 26 Mar. 1727 in 8 yr. (g. s.).
Abigail, m. Ebenezer Spicer.
Ebenezer, b. abt. 1725, d. 7 Oct. 1743 in 19 yr. (g. s.).
Eunice, m. at Greenfield, 10 Oct. 1747, Edward Blackman.
Sarah, d. unm. before 1760.
8+Nehemiah-Smith, bapt. 29 Apr. 1733.
Desire, bapt. 30 Dec. 1735 (twin, privately), d. y.
Mary, bapt. 30 Dec. 1735, d. y.


Children [by second wife]:..."