found on HeritageQuest Online under Revolutionary War pension applications.
Series: M805 Roll: 622 Image: 129 File: S21405 Page: 1 of 11
Va Oliver, Jilson S.21.405
p.2 "Jilson Oliver of Pickens Dist in the State of S. Carolina who was a private in the company commanded by Captain Lftudge of the Right commanded by Col Leord in the S. Carolina line for 9 months" and then below S. Carolina is written VA so ???
P. 3 on _ March 1833 says Jilson Oliver was 78 years on 13 Aug 1832 He first enlisted at New London, Bedford Co, VA
p. 4 "says he was born in Virginia Amherst County 1754". He lived in Bedford County when called into service (1774) and "after the close of the war removed to North Carolina Surry County and after some years removed to South Carolina where I now live in Pickens District"
p. 5 Daird Sloan and John Robertson of same county sign for his character
p.9-10 is a typed page of "Regulations under the Act of 1832"
Unfortunately there is no mention of genealogical information regarding any relatives.

A Jilson Oliver married a Sarah in South Carolina, no date or county shown.
South Carolina Marriages, 1641-1965 on Ancestry

Can?t find him in 1810 or 1820 in NC or SC census.

1830 United States Federal Census > South Carolina > Pickens > Not Stated
Gilson Oliver - - 2 - - - - - - 1- - - // - - - 1 - - - 1 - - - - - //
Therefore 70-80 in 1830 census fits.
few above is a Thomas Oliver 20-30 with one daughter under 5 and wife also 20-30

1840 United States Federal Census > South Carolina > Pickens > Pickens District
James (20-30) alone & William (50-60) household found

(is this potentially a son or ???)
1850 United States Federal Census > South Carolina > Pickens > Western Division
598 639 Gibson Oliver 70 M Farmer VA
Elizabeth 70 F VA
Elizabeth 30 F SC
Frances 22 F SC
Adalidde 20 F SC
also on another page
75 75 Wiliam Oliver 61 M Farming SC
Ruth 71 SC
James E 38 M SC
James G Steffen 23 M Farming SC

1. Gibson OLIVER b: 1780 in VA
2. Thomas OLIVER b: BEF 1810