There was also a child born earlier in 1882:
Baptism: 5 Feb 1882 St Peter, Greengate, Lancashire, England
Susan Smith - filia Joannis Smith & Mariae Annae (formerly Cain)
    Born: 30 Jan 1882
    Abode: 4 Duke St.
    Godparents: Joannes Cailey; Susan ?
    Baptised by: Eduardo O'Connell
    Register: Baptisms 1877 - 1886, Page 199, Entry 1094
 
Baptism: 10 May 1891 Cathedral Church of St John the Evangelist, Salford, Lancashire, England
Rosa Anna Smith - filia Joannis Smith & Mariae Annae (formerly Cain)
    Born: 4 Apr 1891
    Abode: 4 Duke St., Greengate
    Godparents: Laurentius Kelly; Elizabetha Joanna Logan
    Baptised by: Carolo Rothwell
    Register: Baptisms 1886 - 1894, Page 420