By 1070 this had become known as Wolvrenehamptonia – Wolfrun's heaton – now the city of Wolverhampton, the sixth largest district by population in the West Midlands.

Her son Wulfric "Spot" became one of the king's principal thegns in the 990s and an even more extensive landowner than his mother, with holdings in Derbyshire, western Warwickshire, the territories "between the Ribble and the Mersey", Northumbria, and seven other English counties as well as his inheritance in Staffordshire by the time of his death circa 1002-1004.

Ælfgifu later played a key role in securing the throne for her son Harold Harefoot in 1036.

Wulfrun is known to have also had at least one other child: Wulfric's will contains bequests to the daughter of a sister, Ælfthryth, who had apparently died before the will was written in 1002.

Her exact death date is unknown, but a reference however can be found in a charter to Ensham Monastery dating to 1005 which states that Wulfrun bequested land at Ramsey (now located in Cambridgeshire), being "at her last breath", indicating that she died shortly after the charter was written, sometime in 1005,[1] although a now outdated source states that she died in Tamworth in 995 or 996,[2] although she was probably alive until 1005.