Home>Choose State>Cities in Massachusetts>Institutions in Falmouth>Martha's Vineyard Savings Bank Locations in Falmouth Martha's Vineyard Savings Bank Branch Locations in Falmouth, MA 1. Martha's Vineyard Savings Bank - Palmer Avenue Falmouth Branch 397 Palmer Avenue, Falmouth, MA 02540 View Branch 2. Martha's Vineyard Savings Bank - Falmouth Branch 2 Water Street, Falmouth, MA 02543 (508) 627-4266 View Branch