found my ancestor's father's will; I believe your Absalom is mentioned here as well: http://www.ncgenweb.us/currituck/wills/coxedward1748.html
Sept. 26. 1748 - July Court 1751
North Carolina }
In the Name of God Amen.
I Edward COX of the County aforesaid being Very Sick and weak but in perfect Sence and Memory thanks be to God for it I therefore make this my Last will and Testament In manner and form following that is to Say -----
Imprimis I Give and bequeath to my Son Thomas COX the plantation I now live on Inclueding Seventy five Acres of Land I also Give my Said Son my old Horse and five hed of Cattle that is Caled and Deamd to be his to him and his Heirs for Ever with ye Land before mentioned.
Imprimis I Give and Bequeath to my Son Absolom COX the plantation that was Caled Hezeciahs Including Seventy five Acres of Land I also Give my Said Son three hed of Cattle Caled and known to be his with ye Said Land to him and His Heirs for Ever.
Imprimis I Give to my Son Eliga COX the remander part of my Land with my young Horse and three Hed of Chattle [sic] Caled and Known to be his with the Said Land to Him and his Heirs for Ever.
Imprimis I Give to my Dafter Jemima PARKER first Child a Cow Calf and a Ewe Lamb to be Delivered by my Executors as Soon as my Affares are Setled.
Imprimis I Give to my Dafter Jemima PARKER a Cow and Calf Known by the name of Motly at the Bancks on the place Cald Cow Quarter.
Imprimis Now as for the Rest of my Estate I Give to my three Sons Thomas Absolom And Eliga to be Equally Devided Amongst them after my Debts and Charges and Bural Expences is paid I also leave my Said three Sons to be my Sole Executors of this my Last will And Testament Disaluling [sic] all former Wills before by me made. In Witness Whereof I have hereunto Set my hand and fixed my Seal this 26 Day of September 1748.
/s/ Edward [his EC mark] COX
Signed Sealed published and Declared by the Testator to be his Last Will and Testament in presents of