James parents look to be John Ryan and Helen (and all its variants!) Dooley (lots of variants for this too..) Some of the children's births on IGI:
JAMES RINE Birth: 24 MAR 1868 Middle Or New Parish, Greenock, Renfrew
Parents: JOHN RINE and ELEANOR DOWLY
HANNAH STACEY RYAN Birth: 17 JUL 1870 Middle Or New Parish, Greenock, Renfrew
Parents:JOHN RYAN and ELLEN DOOLEY...interesting indexing on the name Anastatia

DANIEL RION Birth: 25 FEB 1873 Inverkip, Renfrew
Parents: JOHN RION and HELEN DULEY
Likely this is how you will have to search for birth entries on Scotlands People if you want to view the birth certs - as you can see, huge variations on the spellings.
Any of the above birth certs should include date and place of parents' marriage. If in Ireland, it can give you some clues as to where the parents may have originated from.
Monica