Listed in the Virginia Census Records for 1785, Shenandoah Co. as Abraham Beever, 2 persons.

Some details about Abraham Beaver can be found in I. M. Beaver's History and Genealogy of the Bieber, Beaver, Biever, Beeber Family, p. 527:

...Abraham Beaver, B. 1758, d. Aug. 2, 1824 (according to stone in Licking cemetery, near Hebron, Licking Co., O.) m. Feb. 25, 1784 (according to Shenandoah Co., Va., marriage record) in Virginia to Barbara Kauffman, b. 1762, d. Aug. 22, 1823 (according to stone in Licking cem.)...

Abraham Beaver moved his family from Page Co., Va., to Licking Co., O., about 1810 and probably most of the children. Barbara Beaver is named in the organization of the "Old Dutch Church," Pleasant Run, O.

Both died at the home of their son, Martin Beaver and wife Elizabeth in Licking Co., O. They went to live with their son Aug. 18, 1823, as recorded in Martin Beaver's Bible. Barbara died four days later and Abraham a year later, Aug. 2, 1824.

The "Old Dutch Church" which Barbara Beaver belonged to was a Primitive Baptist Church which had been transplanted from the Massanutten area of Virginia orginally founded by her father. One can assume that Abraham also belonged to this church.

From pages 528-529:

Abraham Beaver... had married Barbara Coffman, daughter of Martin Kaufman II and Mary Lionberger Kaufman, Feb. 25, 1784 (see "Forerunners," p. 93). Martin Kaufman II made his will Feb. 25, 1805, with David Beaver and Abraham Strickler as witnesses. He died soon after and at a Court held April 9, 1805, his will was proven by the affirmation of David Beaver and Abraham Strickler, witnesses thereto. (Shenandoah Co. Will Book, folio 324).

From Ross Williams:

The following is inscribed on Abraham's gravestone [in the Licking Cemetery in Hebron]: