The surname Farrell appears on RADM Farragut's report regarding the Tecumseh survivors who swam ashore to Fort Morgan and were captured as prisoners of war by the confederates and sent to Andersonville. , 
A search of Civil War-era rendezvous index cards reveals a number of sailors with the surname of Farrell attached to the West Gulf Squadron in the summer of 1864, but none of them mention a Farrell attached to the Tecumseh herself. Nor does the reconstructed Tecumseh muster roll mention a full name for him asides from "Farrell reported prisoner by ADM Farragut" on the notes on the reverse side of the roll.
Awards & Memorials
Alternate Spellings of Name
References and Sources "Report of Rear-Admiral Farragut, U.S. Navy, Regarding Captured Members of the U.S.S. Tecumseh's Crew." United States House of Representatives: Official Records of the Union and Confederate Navies in the War of the Rebellion: Series I, Volume 21 West Gulf Blockading Squadron from January 1 to December 31, 1864, Government Printing Office, 1906. p.493
 "OUR BLOCKADING SQUADRONS.; Particulars of the Capture of the Lucy and the Annie off Wilmington; Captures Reported by Admiral Farragut; Safety of Four of the Tecumseh's Crew; Expedition to St. Andrew's Bay, Florida." New York Times, November 8, 1864