It could stand for a number of things. However, in my personal opinion, it probably refers to The DIVISION such as A, B, C: However they called it TROOP in The Series (which was actually incorrect for th Period in which it supposedly took place). It could also stand for FORT as in FORT COURAGE (the FORT in the Series). yet again, it could also stand for FARCE
..... for more on this check out the LINK . . .http://en.wikipedia.org/wiki/F_Troop
... and read the Following section in that Story...
Historical inaccuraciesThe series is a broad, lighthearted military farce which usually played fast and loose with historical accuracy.From the TV Show "F- Troop"
Irving Taylor .
The TV series F Troop featured the fictional tribe of the Hekawi . There was also the Shug tribe but this fictional tribe did not play as prominent a role in the series as did the Hekawi .
F Troop
F Troop (1965-1967), with Forrest Tucker and Ken Berry.
F Troop - 1965 Will the Real Captain Try to Stand Up - 1.34 was released on: USA: 10 May 1966
F Troop - 1965 Will the Real Captain Try to Stand Up 1-34 was released on: USA: 10 May 1966
From the TV Show "F- Troop"
F Troop - 1965 Our Brave in F Troop 2-30 was released on: USA: 30 March 1967
F Troop ended on 1967-04-06.
F Troop was created on 1965-09-14.
F Troop - 1965 How to Be F Troop Without Really Trying 2-2 was released on: USA: 15 September 1966
F Troop - 1965 is rated/received certificates of: Australia:G
According to Wikipedia, she is running a website about F-Troop, http://www.wranglerjane.net.
F Troop Season 2, Episode 13: "Wilton the Kid"
F Troop aired September 14, 1965 and concluded its run on April 6, 1967 .
F Troop - 1965 Too Many Cooks Spoil the Troop 1-28 was released on: USA: 29 March 1966