Gethsemane = "an oil press"
derivation: of Aramaic origin, cf (01660) and (08081)
http://bible.crosswalk.com/Lexicons/Greek/grk.cgi?number=1068&version=kjv

(01660)
1] winepress, wine vat
derivation: probably from (05059) (in the sense of treading out grapes)
http://bible.crosswalk.com/Lexicons/Hebrew/heb.cgi?number=1660&version=kjv

(05059)
1] to play or strike strings, play a stringed instrument
   1.a] (Qal)
       1.a1] player (participle)
   1.b] (Piel)
       1.b.1] to play 1b
       1.b.2] player, minstrel (participle)
derivation: a primitive root
http://bible.crosswalk.com/Lexicons/Hebrew/heb.cgi?number=5059&version=kjv

(08081)
1] fat, oil
   1.a] fat, fatness
   1.b] oil, olive oil
       1.b.1] as staple, medicament or unguent
       1.b.2] for anointing
   1.c] fat (of fruitful land, valleys) (metaphorically)
derivation: from (08080)
http://bible.crosswalk.com/Lexicons/Hebrew/heb.cgi?number=8081&version=kjv

(08080)
1] to be or become fat, grow fat
   1.a] (Qal) fat (substantive)
   1.b] (Hiphil) to make fat, show fatness
derivation: a primitive root
http://bible.crosswalk.com/Lexicons/Hebrew/heb.cgi?number=8080&version=kjv

A link to each occurrence of this word in the homepage:
1] Gethsemane