His name is sometimes written as Arannah or Aaron in the census records at Onondaga and Allegany Counties, NY.
The 1820 Federal Census at Marcellus, Onondaga Co., NY lists the following Wightmans: Allen & Arannah. It appears that Allen is age 26 - 45 yrs, and Arannah is 45+.
The 1830 Federal Census at Bolivar, Allegany Co., NY, lists the following Wightmans: Simon, Aaron, E.H.
The 1840 Federal Census at Wirt, Allegany Co., NY, list the following Wightmans: A., E.H., S., & L.