The Barnum Family, 1517-1904 calls him Asabel Barnum.
In the 1850 US Census for New Milford, Litchfield County, Connecticut the family of Asahel Barnum was enumerated as follows:
Dwelling #512; Family #525
Ashael [sic] Barnum, 52, M, Farmer, b. Connecticut
Mary Barnum, 50, F, b. Connecticut
Sarah Barnum, 16, F, b. Connecticut, Attended School within the year
George Barnum, 8, M, b. Connecticut, Attended School within the year
In the 1860 US Census for Bethel, Fairfield County, Connecticut the family of Asahel Barnum was enumerated as follows:
Dwelling #259; Family #292
Asel [sic] W. Barnum, 61, M, Farmer, Real property $500, Personal property $300, b. Connecticut
Mary Barnum, 58, F, b. Connecticut
Frances Barnum, 30, F, b. Connecticut
Sarah Barnum, 22, F, Hat Trimmer, b. Connecticut