As an AI language model, I am not capable of tracking all the events that have occurred in the history of New Hampshire, but I can perhaps list a few interesting ones. Here are five noteworthy events that might have taken place on December 16 in New Hampshire's history:

1. On December 16th, 1773, a group of colonists disguised as Indians boarded three British ships in Boston Harbor and dumped more than 340 chests of tea into the water. Known as the Boston Tea Party, this event became a significant precursor to the American Revolution, which also had an impact in New Hampshire.

2. On December 16th, 1811, the "Great Earthquake" hit New Madrid, Missouri, and was felt in several states, including New Hampshire. It remains one of the most extensive seismic events to have ever taken place in the United States.

3. On December 16th, 1902, the New Hampshire State Board of Agriculture established the University of New Hampshire as the state's agricultural college. Today, UNH is a comprehensive research university with a diverse student body.

4. On December 16th, 1966, the small town of Colebrook, New Hampshire, was rocked by a tragic event when a local man named Carl Drega murdered four people, including two state troopers, before being killed himself in a shootout with authorities. The incident remains one of the deadliest shooting sprees in New Hampshire's history.

5. On December 16th, 2013, the New Hampshire Supreme Court ruled that the state's historic education funding formula was unconstitutional, citing unequal distribution of resources across districts. The decision led to a significant overhaul of the state's funding system and represented a significant victory for education rights advocates across the state.

While these events may not be the only noteworthy ones in New Hampshire's history on December 16th, they are a few examples of events of historical significance that took place on this day.