Brookline Police Sgt. Douglas Barnett said the accident is still under investigation.
He identified the other two drivers as 31-year-old Greg Cullen of Milford and 37-year-old James Ciprotti of Weare. Neither man was injured.
Barnett said Hamilton was southbound on Route 13 preparing to turn left when Cullen's truck hit the rear of her car and sent it into the northbound lane, where she was broadsided by a Ford F-250 pick-up truck driven by Ciprotti.