There are only 5 Rhode Island related stamps issued before 1900.There were three different Oliver Hazard Perry Issues of which there are 10 variations, (with separate Scott numbers).  Perry was the hero of the Battle of Lake Erie fought in the War of 1812. He was born in South Kingston, RI.

There were two Providence Postmaster's Provisionals issued in 1846, (10x1 and 10x2 - 5c and 10c) and a reprint of those two issues in 1898. 

I have included a scan of a 1891 copy of "The Rhode Island Philatelist," published by the Rhode Island Philatelic Society, (Bottom Left).

Rhode Island Related Issues 1846 -1900
Postmaster's Provisional 1846 - Scott #10x1			Postmaster's Provisional 1898 - Scott #10x2 Reprint
Oliver Hazard Perry 1870-71 Scott #144	Oliver Hazard Perry 1890-93 Scott #229				Oliver Hazard Perry 1894 Scott #261
Covers Mailed to/from Rhode Island Between  1846 -1900
1 Cent Ben Franklin Imperf - Scott # 9		3 Cent Washington Imperf Scott #10 Type I		1 Cent Ben Franklin Scott #24
2 Cent Post Rider 1869 Issue Scott #113 Perf 12 - G Grill		3 Cent Locomotive 1869 Issue Scott-114 Embossed Label on Reverse		3 Cent Washington January 13, 2026 Scott #158
Letter from Clarks Falls to Centerville, RI - 1880 Quaker Mother to Son News from Home		May 1891 Issue of RI Philatelist Published by the RI Philatelic Society		1897 Cover Newport, RI with Letter Concerning Sale of Property The Stamp is an 1895 2c Washington - Carmine Type III - Scott #267 (See full size cover for further information) (Letter is Marked Confidential)