Looks like Marie born 1862 was their second daughter by this name as there is this baptism at St Matthew, Nottingham (transcript only):
20 Jun 1858 (born 23 Sep 1857) Murrow Anett d/o Richard & Mary Ann Turton of Wollaton St.
This would seem to be her birth, but in Cheshire:
TURTON, MARRANETT mmn EDWARDS
GRO Reference: 1857 S Quarter in NANTWICH Volume 08A Page 283
ADDED: Burial 3 Sep 1858 Moorgate Cemetery, Rotherham, Marrionett Turton aged 1