The USS Rebellious (NCC-1807) was a Miranda-class starship in service in the mid-24th century. It was severely damaged (and eventually self-destructed) at the Battle of Wolf 359 in 2367.
During the battle, the Rebellious informed the USS Endeavour they were en route to assist the USS Roosevelt. (Star Trek: The Prospect Chronicles: "The Burnt Child")
Elizabeth Singh served as first officer on the Rebellious. She and fellow bridge officer, Regina Meyer, were the only bridge officers to survive the onslaught. Singh's husband, civilian Velutha, was killed, and Singh's children, Esthappen and Rahel, were assimilated by the Borg.
Eleven survivors escaped on a shuttlecraft before the Rebellious exploded. (Star Trek: The Cantabrian Expeditions: "An Innocent Time", "Devil's Cube")