Peter P. Remington's name and/or signature appears in many Newport wills during the 1800s. For example:
witness to will of John Shaw 24 Aug 1812
witness to will of James Center 21 Jan 1814
witness to will of Mary (Tilley) Swinburne 2 Nov 1828 (his wife's aunt)
witness to will of Joseph Sanford 1838
"friend" in will of Mary Dayton 1842
"executor" in will of Myra Allen d. 26 June 1844
"executor" of will of Jonathan Bailey 1848
Peter P. Remington was Overseer of the Poor in Newport, 1840 and 1842; perhaps other years, too. (source: documents indexed online by Jamestown Historical Society)
In the 1850 Federal Census, P.P. Remington 67 & his wife Rualmi C. 62 are living in Newport, RI, with Sarah Lawton 15.
In 1851-1852, after his wife died, Peter was boarding with his son. (source: "Lydia's Letters, 10 More" compiled by Margie Brown and Virginia Remington Rich)
In the 1860 Federal Census, Peter P. Remington is age 78, and living with his daughter and son-in-law, Sarah H. & Samuel Carr, and their family, at Newport, RI.