Caroline was born on October 17th, 1845 in Bingley and her baptism took place on February 23rd, 1846 at All Saints (Bingley).1
Birth Notes
No GRO record for Bradford or Keighley
Name: Caroline Smith Age: 0 Record Type: Baptism Birth Date: 17 Oct 1845 Baptism Date: 23 Feb 1846 Baptism Place: Bingley , All Saints, Yorkshire , England Father: Thomas Smith Mother: Jane Smith
Caroline Smith may be the daughter of Jane Smith. The baptism shows her father and Thomas (two years later, there is no father for William Thomas Smith), but the abode is East Morton, which is where Sandbeds is. There does not seem to be a Thomas Smith, Grocer in 1841 or 1851.
Otherwise she may be the daughter of Thomas and Jane Smith (51 & 46 in 185251) of Keighley, a landed proprietor.