7 Apr. 1769–14 June 1853
On 1 Jan. 1801, Davidson married Margaret ("Peggy") Osborne, daughter of Colonel Adlai Osborne of Belmont plantation in Rowan (later Iredell) County. According to family tradition, the mansion house at Holly Bend was built at this time. It is one of the largest still extant in Mecklenburg County and notable for its Georgian interiors. Robert and Peggy Osborne had no children of their own but reared several nephews, notably Mrs. Davidson's nephew James W. Osborne and David Alexander Caldwell, son
In the census of 1850, Davidson is listed as the enslaver of 109 people, the only planter-enslaver in Mecklenburg County to enslaved over 100 people. He also owned land and enslaved people in Alabama. An oil portrait was painted of him, probably about 1841, by an artist named Wiseman. This portrait was taken to Alabama by his niece, Patsy Caldwell Davidson, and is now at Cedar Grove plantation near Faunsdale. In 1853, after Davidson's death, J. F. G. Mittag was sent to Alabama to make copies for his legatees. Six copies were made. There are also extant two stylized miniatures of Davidson and his wife, painted earlier than the portrait, in the possession of the family of Colonel Thomas D. Osborne of Asheville.
The North Carolina Whig of 6 July 1853 carried a notice of Davidson's death at Holly Bend: "Died, at his residence in this County, on the 14th ult., Mr. Robert Davidson, aged 84 years. During a life protracted beyond fourscore years, he lived so as to secure the esteem and respect of all with whom he associated. Those who knew him best will long cherish his memory as that of an honest man and a true patriot." He was buried in the family graveyard on his father's plantation at Rural Hill.