Earliest record is Abraham living with his grandparents in 1850 Shenandoah VA
With the ages within the household, there is showing of a possible mother of Abe. From the showings in this census, I would say most are grandchildren/great grandchildren along with most likely Henry's sister or sister in law.
Henry Clark 84 (1766) VA
Elizabeth Batchel 38
Abraham Strickler 30
Elizabeth Wetherholtz 18
Julianna Baker 20
Elizabeth Rhinehart 85
Issac Cash 11
Now, as for father of Abe,
I found in 1820 in Isabella Furnace,ShenandoahVA
one Abraham Strickler who was a slave owner showing his age 45 years or older
There were Stricklers listed in VA prior to 1820, but found Abraham Strickler records in 1790-1810 in PA
I found where Abe married later in life to an older woman named Sarah Helsley
they are found in 1860,1870, and 1880 census
I find it interesting that in the 1850 census with Henry Clark, who was listed as a farmer had three people in his household with German names. Am wondering if he re-named hinmself, or if this is his wife's Rebecca;s relatives,
I did find VA birth records of one of Abe and Sarah's children. What is interesting in question is a possiblity of Abe's great grandchild. I don't know.
Perhaps this child was a namesake of Abe but there is no proof.
1860 Cabin Hill, Shenandoah,VA
Abraham Strickler 36, Sarah 40, John 7, Mary 1 month
Abraham 50, Sara 55, John 18, Virginia 10
(so perhaps her name was Mary Virginia?)
John S, Strickler
North River, Shenandoah VA
F- Abraham Strickler jr
M- Virginia A.
b- April 29, 1852
Page Co VA
I know this is not what you were seeking, perhaps you already have this info. If so, no harm done, if not, a possibility of more info. than you had.
I don't know if this is of help or not, just passing along with what was found.