Stony Hill is a residential neighbourhood in St. Andrew Parish, Surrey County, on the northern outskirts of Kingston, Jamaica. As of 2009 it …Stony Hill is a residential neighbourhood in St. Andrew Parish, Surrey County, on the northern outskirts of Kingston, Jamaica. As of 2009 it had a population of 8,388. In 2015 it was reported to have grown to 9,983 people.