I received a number of suggestions regarding the location of Mozheiki.
Some thought the town was the same as Mazeikiai located in Kovno
guberniya or Mazeikiai/Mozheik and Mazeli both in the Siauliai
district. I have an 1875 revision list with my relatives that show
Mozheiki in the Lida District which includes Eishyshok and Nacha. Judy
Baston found a shtetl located two miles south of Radun, Belarus called
Mozejki which would be in the Lida District. My guess is that Mozejki is
the same as Mozheiki. Again thanks to all who responded.