found james & rachaels marriage the date is different from the one you have, 24-4-1862 and his fathers name is robert,no fathers name for rachael, i found this marriage it maybe james parents.
Record Type Parish Marriage
Date of Marriage 9 Nov 1837
Groom Name robert TAYLOR
Bride Name mary ROBINSON
Church Bovevagh Presbyterian Church
Parish Bovevagh
Civil District Newtown Limavady
County Londonderry
regards mary.