1850 census of Carroll Co., Virginia, 11th district, enumerated 3 Aug, lists on p. 332 as family #205:
Joshua Duncan, 27, farmer; Elizabeth, 25; Sarah, 5; Nancy, 2; Wesley, 6/12. All born in Virginia.

1860 census of Carroll Co., Virginia, Dugspur P.O., enumerated 13 July, lists on p. 65 as family #425/429:
Joshua Duncan, 40, farmer; Elizabeth, 37; Sarah, 15; Nancy, 12; Wesly, 10. Elizabeth born in North Carolina, the others in Virginia.

1870 census of Carroll Co., Virginia, Pine Creek district, Hillsville P.O., lists on p. 126 as family #210/216:
Duncan, Joshua, 51, miller; Elizabeth, 45; J. Wesley, 20; Helton, Napolean, 18, works on farm; Arta Minse, 12 (f). All born in Virginia.

1880 census of Carroll Co., Virginia, Pine Creek district, lists on p. 154 as family #399/406:
Duncan, Joshua, 62, work in mill; Elizabeth, wife, 58; Tobias, boarder, 40. All born Va Va Va.