I'll probably be of little or no help in researching the family members of the OLD Andrew Hipkin Tarver.However, if I run across helpful information I'll post it.
Before you move on from the younger Andrew Hipkin Tarver (d. 1780/81), here are a couple of potentially important pieces of information:
I searched the Bureau of Land Management site, www.glorecords.blm.gov, or Home - BLM GLO Records, and discovered that Certificate #2797 of "Andrew Tarver of Conecuh County" from "Andrew Jackson, President of the United States of America" (John Quincy Adams' name is scribbled out) is dated the tenth day of November, in the year of our Lord one thousand eight hundred and thirty (the printed word, twenty, is lined through, and the word, thirty, is handwritten after it).Therefore the date of Certificate #2797 is 1830, not 1820.
Certificate #35, "signed" by James Monroe, President of the United States of America, is dated September 27, 1821 and made out to "Andrew Tarver of Conecuh County, Alabama."
Certificate #173, also "signed" by President Monroe, is dated November 7,1821 and made out to "Andrew Tarver of Butler County Alabama."
In a previous Message, I noted that some of Andrew Tarver's land was in Marion County, Georgia at the time of his death, specifically Land Lots 33, 34, & 35 in the 25th District(Image 82, Wild Land Tax Digest...,Webster County, Georgia, Probate Records at Familysearch.org). That area of Marion County was cut off from Stewart County in about 1846 or 1847.He also owned, in Stewart/Kinchafoonee (later Webster) Co., GA, Land Lot Nos. 188,189, 190, 195, 196, 197 and 220 in the 24th District and 210 and 239 in the 25th District.In his 1846 (probated 1847) Jefferson Co., GA Will, Samuel B. Tarver left his daughter, Isabella E. Tarver (She married, 1831 Jefferson Co., to John Tarver of Hancock Co.She died 1851 in Russell Co., Alabama) Land Lots 33, 34, 35 & 61 in the 25th District of Stewart County and Lot #223 in Stewart County.Maps show that Lot 61 in Marion Co. touched the southwest corner of Lot 35 and that Lot 223 in Webster Co. touched the southeast corner of Lot 195.The above shows that Andrew H. Tarver must have purchased, directly or indirectly, most, if not all, of Samuel Bennett Tarver's bequest to his daughter, Mrs. Isabella Eleanor Tarver Tarver, some time between the 1847 probate of Samuel's Will and the 1855 death of Andrew.I suppose that doesn't prove anything beyond the fact that Andrew must have been in touch with heirs of his relative, Samuel B. Tarver, but it is interesting.