I have looked into the ARCHER family that were living with Thomas Potter and wife Mary in the 1851 census.

James Archer married Hannah POTTER 27 Dec 1829 • Nottingham, Nottinghamshire, England.
Hannah Potter was baptised to Thomas and Mary Potter on the 23 Feb 1812 • Ilkeston, Derbyshire, England
So we can conclude Hannah is part of the family. .......
Following on from that I took a look for further baptism's in Ilkeston to Thomas and Mary Potter and there is a William Potter Baptised 26 Sep 1813 • Derbyshire, England • Ilkeston, Derbyshire, England father ( Blacksmith)
I still have no proof of Mary's surname but following up all lines of research suggested will update any conclusive news.
Really appreciate all the help and advice and currently following all new lines of research
Thanks Judi