Jane Amelia's last name was probably BACKWELL based on marriage date and middle initial:

Individual Record Robert CAINE Jane A. BACKWELL
Marriage: 27 Sep 1860 Braddan, Isle Of Man, England
Batch number:M038021 Printout Call No.6909378
Source Call No.0106708 Dates 1683-1733

Christianing dates of their children can be found on the IGI by entering Robert Cain and Jane as parents,