Hello there. I have been doing a bit of looking up for you, and have found the following for you:
Diana's Mother Was Elizabeth Dickinson Married to Charles Brailsford 16 feb 1790 at Newark upon trent, Notts. There are 2 other children: Mary Ann Christened 20 Mar 1791 at Southwell. Charles Christened 3 Oct 1795 at Southwell
Humphrey Bralesford chr 1 Feb 1731 (at Southwell) is the son of Humphrey Bralesford and Mary........
I also have Brailsford's in my ancestral line, though not from Southwell, but from Nottingham itself. Sarah Brailsford is my gggg grandmother. She was Christened 10 Apr 1791 at St Mary's Nottingham, daughter of John Brailsford and Elizabeth....... This is all I can find on her own family. She married John Jepson at St Peter's, Nottingham, 16 Sep 1812, and had 4, possibly more children. I hope this might be of some help to you. Brian