I'd suggest your trying another site,
www.findagrave.com I went to NC, scrolled down the list of Oakwood Cemetarys to Raleigh, cliked on that. A photographer has supplied a photo of the entrance to the site. I'd suggest you query him to see if he could provide a pic of the headstone, or query Tabatha, who has provided headstone data.
listed are; Pvt. John Pittman, MS 3rd Infantry, Co. I. Also listed is a B.F. Pittman, NC 1st, Co. C.
Good luck!