Some of his offspring state father's place of birth as Connecticut in 1880 and later censuses. However, at this point I don't think this is the same Zalmon Smith from Redding CT born 1880, due to birthdate discrepency. Keeping the option open though!!
Appointed Constable 1811 Oxford, Chenango, NY
Military Service: Militia Appointment 1815 Chenango, New York, United States
Military Service: Militia Appointment 1807 Chenango County, New York
Death: acc. to desc. of Canal St. cemetery, Greene, NY 1843 Greene, Chenango, New York
1810; Census Place: Norwich, Chenango, New York; Roll: 26; Page: 236; Image: 122.10.
1820; Census Place: Greene, Chenango, New York; Roll: M33_66; Page: 177; Image: 101.
1830; Census Place: Pitcher, Chenango, New York; Roll: 86; Page: 81.
1840; Census Place: , Chenango, New York; Roll: 273; Page: 99.
Echoes of the Past - Annals of the Town of Greene, Chenango County, NY 1867-1967 by Author: Folsom. Publication: Hall Printing Co., Binghamton, NY
Military minutes of the Council of Appointment of the State of New York, 1783-1821