Could this be a death notice for this individual (although the age seems about a couple of years off): New York Evening Post of 9 March 1826, "31, Benjamin Remington, b.R.I., aged 51"?
Also see the following death for Benjamin Remington, possibly the same as above:
birth: 1775 Rhode Island
death: 03 Jan 1826 Manhattan, New York, New Yrk. Co., N. Y.
A Custom House certificate shows that John Remington swears for Benjamin Remington, born c 4 June 1777 at Exeter. (card file at Newport Historical Society)