Hi Dominic,
I attach a copy of a marriage of a Thomas Rice in Eglish in 1836. It is difficult to make out the name of his wife.
As well as the siblings of William in 1853, there is a Roger Rice baptised June 1846. Mother "B Neil".
Were they a non- Roman Catholic family?
Regards,
Credits: www.rootsireland.ie and www.findmypast.ie