Joshua Beasley is in the 1850, 1860 and 8170 United States Census in North Carolina. In 1850 he was in Johnston Co., NC, and 66 years old, Judeth is 65 who I assume is his wife.
In 1860 He is in District West of Neuse River, Johnston, NC. He is 76 and Judith is 73.
In 1870 he is 86 and living in Ingrams Twp., Johnston, NC
Younger people are in his household in each census, which I assume are his children and grandchildren.