Figure 1 depicts the surface observations at 2:00 am EDT, which shows a cold front in northeast United States. This cold front essentially became the focus for thunderstorms and essentially this tornado.

The North Pembroke, MA F1 tornado of July 4, 1964 impacted Plymouth County in Massachusetts. According to NOAA (2019), the F1 tornado caused no fatalities or injuries, but caused $250 thousand dollars in property damage. The tornado touched down in Plymouth County in Barker Street at 2:30 pm EDT. The tornado travelled for 2.3 miles and had a maximum width of 33 yards.
Sources
NOAA Central Library. (2019). U.S. Daily Weather Maps. Saturday July 4, 1964 [PDF]. Retrieved from https://library.noaa.gov/Collections/Digital-Collections/US-Daily-Weather-Maps
NOAA National Centers for Environmental Information (2019). Storm Events Database. Retrieved from: https://www.ncdc.noaa.gov/stormevents/