Mark:You have likely read my thoughts on the early (Rev.War)Adcocks in GA.I still believe these can likely be traced back to the Thomas who was in Essex Co. VA in the late 1600's.He disappeared from Essex Co. some 30 yrs.prior to the two brothers (John and Tobias) and their cousin William who came to Granville Co., NC in the 1730's.The last Adcock to leave Essex Co. (after 1743) was Joseph and he is the one who went to what became Buckingham Co. and stayed there with all of his children, grandchildren and great grandchildren through the late 1790's and early 1800's. So I believe we should leave that group there, as they are accounted for by tax records for many years. The other records in that county were burned.ANY group which appears in another state prior to the Rev. obviously came from another group (though remember they were kin in Essex Co.).
1. First sons were almost always named after the mother's father, and the second and third sons after the baby's father's and/or mother's grandfathers or father.It was the fourth or fifth son before a child was named after the father. I have only on a rare occasion in researching about 10 family names (200 years of family hx.) seen it different. The one exception was if there were a dead uncle or brother with no children, and the name was given to honor that individual.
2.The name William Washington which you mention is interesting in that one of the Washington's (supposedly cousin of George) moved to Granville Co. about the same time as many others from eastern VA including the Adcocks, and that family was across the Rappahannock River in VA from where the Adcocks lived in Essex. There were two William Washingtons in Granville Co., NC but they were still here well after the one you mention in GA.
3. I hesitate to state the following on the Adcock page, but the name Richard Adcock forces me to do so.There was another group of Adcocks in Granville Co., NC in the early 1740's and 1750's who most of the time spelled their name "Acock," but sometimes spelled it Adcock.One of them was Richard and another Thomas. I know that most of them stayed in Warren Co.(taken from Granville Co. and east of Granville Co.) for a good while (through the Rev.)and then several of them moved to a county Southeast of Warren Co.One of them became Gov. of NC in the late 1800's and by that time they were spelling it "Aycock."I am not aware that they moved out of Granville/Warren Co. prior to theRev.I have done a little research on them and I have a theory on who they were, but I shall keep that as of now.The two brothers never cosigned any of the other Adcock's deeds in GranvilleCo. Those first two appear to be the sons of Susannah White Adcock who was the daughter of Richard White in Granville Co."My" John Adcock in Granville Co., brother to Tobias, were the sons of Henry Adcock who died in Essex Co. and he was married to Susannah Gill who was a widow of a Gill, but she was not the mother of John and Tobias. John's wife was Eleanor Hill daughter of Leonard Hill of Essex Co.VA. whose mother was named Eleanor.
4.There were Edmund Adcocks in the Buckingham Co. group (let's keep them there as that is where they were), and there were Edmunds in the Granville Co. group but the elder Edmund (Edmond)son of Tobias stayed and died in Chatham Co.,in the late 1700's and there were James Adcocks in all the three or four N.C. groups. One of them disappeared from Granville Co. prior to 1810, but we can't trace him. The one in Chatham Co.NC is from the Granville group and he was there through the early 1800's.
5.Several of the Granville Co. Adcocks moved to GA in the lotteries and many to TN. John of Granville grandson Linson (his name was actually Simon), brother to Leonard and both sons of Leonard who died in Granville, moved to GA in the early 1800's with several or all of his sons but that would have been in the 1820's. One of his sons was Levin Adcock.
I know all this doesn't help you, but maybe you can go to the land lottery records and see if they list the state of birth - also check the original (on ancestry.com) censuses of 1787, 1800 and 1810 to see if they give state of birth. They were not 100% accurate but close. Betty