You may already have the following:
Marriage: 12 Feb 1870, Manchester Cathedral, Manchester, Lancashire, England
John Thomas Artingstall - 29, Labourer, Bachelor, 15 May Street, Regent Road
Ann Simpson - 23, no occupation, Spinster, ? May Street, Regent Road
Groom's Father: Thomas Artingstall, Hatter
Bride's Father: John Simpson, Spinner
Witness: Joseph Ryder; Mary Ryder
Married by Banns by: H. H. Westmore Minor Canon
Register: Marriages 1869 - 1870, Page 245, Entry 490
Source: LDS Film 2356915
https://www.familysearch.org/ark:/61903/3:1:9Q97-YSNB-1VG?i=211&cat=40069The witnesses were Joseph Ryder and Mary Ryder; maybe this couple who married in 1847:
Marriage: 19 Dec 1847, Manchester Cathedral, Manchester, Lancashire, England
Joseph Ryder - Full, Porter, Bachelor, 4 Eltoft Street
Mary Artingstall - Minor, no occupation, Spinster, Droylsden
Groom's Father: George Ryder, Hatter
Bride's Father: Thomas Artingstall, Hatter
Witness: Henry Nuttall; Sarah Ann Artingstall, (X)
Married by Banns by: W. Wilson
Register: Marriages 1847 - 1848, Page 14, Entry 27
Source: LDS Film 2356806
https://www.familysearch.org/ark:/61903/3:1:9Q97-YSNB-RVF?i=236&cat=40069One of the witnesses to the above marriage; Henry Nuttall, is possibly the one that married Matilda Artingstall:
Marriage: 20 Aug 1843, Collegiate Church (later Manchester Cathedral), Manchester, Lancashire, England
Henry Nuttall - Full, Hatter, Bachelor, Droylsden
Matilda Artingstall (X) - Full, no occupation, Spinster, Droylsden
Groom's Father: John Nuttall, Paper maker
Bride's Father: Thomas Artingstall, Hatter
Witness: John Coleman; Charles Andrew
Married by Banns by: W. W. Johnson
Register: Marriages 1843 - 1844, Page 54, Entry 107
Source: LDS Film 2356778
https://www.familysearch.org/ark:/61903/3:1:9Q97-YSN1-DRG?i=441&cat=40069Another
POSSIBLE relative?
Marriage: 09 Jan 1848, Manchester Cathedral, Manchester, Lancashire, England
Joseph Nicholson - Full, Weaver, Bachelor, Gorton
Ann Artingstall (X) - Full, no occupation, Spinster, Gorton
Groom's Father: John Nicholson, Hatter
Bride's Father: Thomas Artingstall, Hatter
Witness: Samuel Artingstall, (X); Eliza Hibbert, (X)
Married by Banns by: W. W. Johnson
Register: Marriages 1847 - 1848, Page 130, Entry 259
Source: LDS Film 2356806
https://www.familysearch.org/ark:/61903/3:1:9Q97-YSNB-RKN?i=352&cat=40069