The Hoge families in Belmont Co OH came there from Loudoun Co VA.If your Asa is born 18 Mar 1801, then he would be the son of Isaac Hoge and Elizabeth Nichols. There is a book written on their grandson J. C. Nichols, who became a self-made millionaire in Kansas City in the early 1900's.
There is also "big" book called Hoge-Nichols and Related Families written by William Nichols that deals with this Hoge line several generations back and forwards.I know it is available on LDS microfilm.
Two of Isaac's sisters marry brothers of his wife Elizabeth Nichols, and then there is a Nichols cousin of Elizabeth's fatherwho becomes the second wife of Isaac's father and they have another 8 children.So many of the Hoges were also Nichols. And many of them went to Belmont Co OH: Isaac's father and several of his brothers and sisters.
These lines were Quakers, and Hinshaw abstracted the Quaker records, which contain birth, death, marriages, and certificates of transfer from one place to another when they move.Quaker records were wonderful.When they had a marriage, all the guest sign the marriage certificate... on and on...I know these Belmont Hoge families were in the Quaker records, and thus easily tracable.
William Wade Hinshaw's Encyclopedia of American Quaker Genealogy, vol 6 for VA, and 4 & 5 for OH. Goose Creek Monthly Meeting and Fairfax MM in VA.Belmont Co had several meeting locations.I think a large part of the Hoges were in the Plainfield MM records.Certificates of transfers will locate them in their travels.
I am a descendant of Elizabeth Nichols's brother John, and not a Hoge. Would love to share, or try to answer any questions you have.