Princeton and Trenton are considered to be in the Southern Jersey market according the this map and text. Chesterfield is well south of Trenton. Do you think the LTE signal might have come from Pennsylvania whose border is about 5 miles away?
(Alcatel Lucent has begun Network Vision/LTE deployments in the Southern Jersey market. The market includes Trenton, Camden, Atlantic City, Princeton, Cherry Hill, Vineland, Millville and Cape May. 302 sites total. Click on Map to Enlarge.