Cannot be the daughter of Elizabeth, daughter of William and Mary, as that Elizabeth was with her parents in 1861. Most likely daughter of John Mather and Elizabeth Ashworth, who marred 1856 at Backup.
Aged 1 in 1861, born Backup
Aged 11 in 1871
Lancashire Birth indexes for the years: 1859
MATHER Sarah Heywood, Rochdale H/27/56
MATHER, SARAH JANE ASHWORTH
GRO Reference: 1859 D Quarter in ROCHDALE
Volume 08E Page 76
Name: Sarah Jane Mether
Birth Date: 8 Oct 1859
Baptism Date: 21 Mar 1866
Parish: Bury, Lancashire, England
Father: John Mether
Mother: Elizabeth Mether
Register Type: Bishop's Transcripts
Reference Number: Drm 2/59a/1
Abode: Heap Bridge, Plumber