Apartments For Rent On Hannover Street In Fall River . 103 hanover st has rental units starting at $1600. Tenant subject to a credit/background. Curtain Lofts Apartments Fall River, MA from www.apartments.com You will fall in love with this unique 2nd floor apartment in a great location. In bank street go for $1,051. Search for other sublets, houses and apartment rentals in fall river, then use.