I know it happened in the battle of Bround Brook. Read the journal of Johann Ewald. British Major John Simcoe burned the Dutch Reformed Church.
With the people inside?
The Presbyterian Church at Bound Brook was not burned at the Battle of Bound Brook NJ in 1777 but as you mentioned correctly the Dutch Church at Van Veghten’s Bridge (2 miles west of Bound Brook) was burned by Simcoe’s Raiders in the fall of 1779 (they claimed that they found stored in the church, harness’ and other equipment belonging to the Continental Army). Simcoe also ordered the burning of the Somerset Court House (about 5 miles sw of Bound Brook) because he claimed that he found a mistreated Tory prisoner in the jail.
British troops did heavily damage the church at Somerset Court House (now the village of Millstone) in December 1776. They used much of the structural wood and siding to build huts that they expected to live in during the winter but which they never used since they evacuated the town immediately after the Battle of Trenton NJ