Footnote.com has pension files for 4 Benjamin Smiths who resided and served from in Rhode Island.
Benjamin Smith & wife Amey Sheldon, R.I. - W25008 They were married Jan. 7, 1777, Johnston, R. I. He was the son of Ezekiel Smith of Smithfield.She was the daughter of Jeremiah Sheldon of Johnston.they were married by Samuel Winsor, Elder of the Baptist Church at Johnston.
Benjamin Smith, R.I. - S42341 Served from Rhode Island, was on the pension roll of NY.
Benjamin Smith, R.I. - R9671(?)I may have erred in the number. Benjamin Smith, R.I. - S32527
Each file is relatively short and I saw no mention of any family other than wife Amey but I did not read all the pages of each.