I thought I would help you guys out a little. I found this in a Bladen County Cemetery Survey book compiled in the 1980's. PLEASE NOTE THAT IT SAYS THAT NO MARKERS REMAIN! Here's what it says...

page. 111

59. Old Burney Cemetery

location: At Elkton, go down the railroad about 0.5 mile to a field on the left side of the railroad. Follow the E side of the field to the woods, the about 0.5 miles on a woods road. This is across the railroad from the McCulloch place, on the land now belonging to Mrs. Margaret N. Clark. There are no markers, since the timber was cut and the land reset in pines, destroying the markers. At the site of the cemetery is a stone marker with the inscription: OLD BURNEY CEMETERY. Dorthy B. McCall has furnished this list of those known buried there.

James Burney, 1783-1828
Sallie Council Burney, 1784-1860
Charles Holland Burney, Aug. 13, 1827-April 25, 1855
Catherine Jane Clark Burney, wife of Charles Holland Burney, Oct. 13, 1822-Oct. 7, 1903
Fannie Ellen Burney, Oct. 25 1878-?
Martha Missouri Burney, May 12, 1887-Jan. 1889
Anguish Taylor Burney, Oct. 21, 1850-Feb. 14, 1866
Eleanor (Nellie) Burney McNaughton, Mar. 7, 1807-Sept 13, 1896
Lewis McNaughton, June 27, 1805-Aug. 1, 1869
Mary Eliza Burney Stubbs, Mar. 19, 1847-Jan. 23, 1902 and her children:
Sallie Stubbs ( no dates)
William Empie Stubbs, June 5, 1876-Mar. 14, 1907 ( the last one buried in the cemetery)
Infant, son of Bland Baldwin Boyd
Infant of Flora Ann Burney and Charles Baldwin

Ones probably buried here, but no proof:
*John McNaughton,Sr., Dec. 8, 1771-April 27, 1852
*John McNaughton, Jr., Jan. 15, 1803-April 6, 1873, son of the above
*Children of Lewis and Eleanor Burney McNaughton:
John Neill McNaughton, Aug. 1, 1833-Dec. 25, 1852
Richard James McNaughton, May 10, 1835-Oct. 3, 1864
Frances Elizabeth McNaughton, Sept. 20, 1845-Nov. 6, 1845


Hope this helps some one.
Shannon