The Post Office at Drownville, (Barrington Township, Bristol County) Rhode Island was established on February 19, 1875 with Liberty B. Greene as Postmaster. The Post Office was disestablished on June 6, 1906 and the name changed to West Barrington. The Post Office continued to operate as the West Barrington Post Office until September 15, 1972 when it was closed for the final time. Drownville postmarks are quite rare and are assigned a rarity factor of 7 in "Rhode Island Postal History - the post offices."

Rhode Island Postal History - the post offices by Merolla, Crowther and Jackson assigns rarity factors of 1 to 10 for the various town postmarks of Rhode Island with 1 being the most common and a rarity factor of 10 indicating that there are no known covers from that town.