Correct spelling for the English word "Jesey" is [d͡ʒˈɛsɪ], [dʒˈɛsɪ], [dʒ_ˈɛ_s_ɪ] (IPA phonetic alphabet).
The word Jersey is derived from Old Norse Jerseyjar or Eyja-syssla, meaning island of the Geats or island of the Jersey people. The Geats were a North Germanic tribe who settled in the region. Over time, the name evolved into Jersey.