Jairus = "whom God enlightens"
derivation: of Hebrew origin (02971)
http://bible.crosswalk.com/Lexicons/Greek/grk.cgi?number=2383&version=kjv

(02971)
Jair = "he enlightens"
derivation: from (0215)
http://bible.crosswalk.com/Lexicons/Hebrew/heb.cgi?number=2971&version=kjv

(0215)
1] to be or become light, shine
   1.a] (Qal)
       1.a.1] to become light (day)
       1.a.2] to shine (of the sun)
       1.a.3] to become bright
   1.b] (Niphal)
       1.b.1] to be illuminated
       1.b.2] to become lighted up
   1.c] (Hiphil)
       1.c.1] to give light, shine (of sun, moon, and stars)
       1.c.2] to illumine, light up, cause to shine, shine
       1.c.3] to kindle, light (candle, wood)
       1.c.4] lighten (of the eyes, his law, etc)
       1.c.5] to make shine (of the face)
http://bible.crosswalk.com/Lexicons/Hebrew/heb.cgi?number=215&version=kjv

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