I am not a member of the family; just entering information to help.In the book Early Charles County Maryland Settlers, 1658-1745" by Bates & Wright, is the following:
"Eburnathy, John - To wife Ann 1/2 real estate.To father John Eburnathy in or near Armagh in the Kingdom of Ireland, other half of real estate.Mentions three bros. Thomas, James, and William, in or near Armagh.Exs. wife Ann and Col. Robert Hanson (Will 20.608, 11 March 1733, 21 April 1733)"
Eburnathy (Abernathy), John, of Grange Oneland in the county of Armagh (Ireland), has sold to Thomas Abernathy (Eburnathy) of Grange Oneland, his oldest son now living, land that was left him by the will of (his son) John Abernathy of Portobacco in Maryland.Signed 24 March 1733/4.James Delap of Ballihaden and Alexander Gray of Drummanon in County of Armagh state that John Abernathy Jr., late of Grange Oneland of sd. county, son of John Eburnethy, now of the same, until about Dec 1712 - that sd. John Abernathy Jr., left his country in order to go to America, and that the sd. John Abernathy, the father, had then four sons, viz., Thomas, James, William, and John Jr., whom these deponents often heard settled in Portobacco in Maryland.William Abernathy of Grange Oneland, sold to James Abernathy of Grange Oneland, his bro., all the estate left to him by the will of John Abernathy of Portobacco, his bor, 15 Nov 1734. (Land O#1.64-69)"
"Eburnathy (Abernathy), Thomas and James Eburnathy, husbandman, of county of Armagh and Parish of Kilmore in Ireland, bros. of John Eburnethy, (innkeeper) of Charles Co. on 12 March 1734/5 convey to William and James Middleton, part of a larger tract called 'His Lordship's Favor,' 349 acres.Ann Eburnethy, relict of dec'd,.John is now possessed of part of a tract called 'Jordan.' (Land O#2.90)
"Ebernethy (Eburnathy), Anne (widow).To grandson Peter White, son of testatrix dau ____, to Sarah, wife of Mr. Francis Ware, to Mary Manarel, wife of John, to Susannah, Sarah and Elizabeth daus. of Francis Ware, Francis, Sarah and Mary Brown, daus. of Dr. Brown, to James Adams and Jno. Doncastle (will 22.455, 23 Dec 1737, 31 March 1742) Next of kin 'no kin at age' Admr.Exs. Francis Ware, John Doncastle."