Rhode Island Tercentenary Issue First Day Cover
300th Anniversary of the Settlement of Rhode Island
Issued on May 4, 1936 in Providence, RI - Scott #777

1st Kilton Cachet - Esek Hopkins
First Commander in Chief of the U.S. Navy
Unofficial City Cancel - Greenville, RI

The Post Office at Greeneville, (Smithfield Township, Providence County) was established on March 12, 1823. The first Postmaster was Richard Smith. The current Postmaster is Michael C. Anderson appointed on April 16, 2005. The Post Office is located at 1 Austin Avenue.

Richard Smith was born on May 15, 1796 in Smithfield Township. He died in Providence on August 28, 1864. Richard was descended from John Smith one of the original proprietors with Roger Williams of the Providence Plantations and Alice Comstock.

John Smith was born in Rochdale, Lancastershire, England in 1595 and died in Providence in 1648. He was a miller by trade and was one of the original 5 companions of Roger Williams. In 1646 he was granted land to build a town mill, which he set up on the Moshassuck River, (which joins the Providence River at Memorial Blvd and Kennedy Plaza). 

I also noted that Richard's Great Grandparents; Daniel Smith and Mary Smith were 3rd Cousins.

Sources:
Check List of Rhode Island Post Offices 1790-1994 - Del Beaudreau
Rhode Island Postal History: The Post Offices - Merolla, Jackson & Crowther