Hi Lori
Based on information in database of Derry Genealogy (www.derry.rootsireland.ie) it would appear that the ancestral home of your Hunter ancestors is the townland of Ballyquin, Balteagh Parish, County Derry, which is located 5 miles north of town of Dungiven and 3 miles south of town of Limavady; and ancestral home of your George ancestors is townland of Derryork which sits on boundary of Dungiven and Bovevagh parishes, County Derry and is located 2 miles north of town of Dungiven.
This is because Derry Genealogy's database of church registers records the baptism in 1843 of a Sarah Ann Hunter to parents Joseph Hunter and Rebecca George of Ballyquin in Drumachose Presbyterian Church. Drumachose Presbyterian Church is located in the town of Limavady. This database also records the births of 7 children between 1819 and 1834 - William, Rebecca (your ancestor), Mary Anne, Elizabeth, Martha Jane, Robert and William - to parents Robert George and Sarah Miller/Millar of Derryork in Bovevagh Presbyterian Church.
Although RootsIreland is the largest online source of Irish church register transcripts, it must be emphasised that a failure to find relevant birth/marriage entries in this database doesn't mean that the events you are looking for didn't happen in Ireland. It simply means that they are not recorded in the database; for example, they may be recorded in a church whose registers don’t exist/survive for the time period of interest or in a source that has not been computerised. For example, the baptismal registers of Drumachose and Bovevagh Presbyterian churches commence in 1837 and 1818 respectively. It must be said that the many church registers in Ireland don’t predate 1830. Hence the birth, marriage and death details of many of our 18th and early-19th century ancestors have not survived in a written record source.