And the winner is...

Lyduokiai! AKA Nidoki, Liduokiai, Liduokyay, Lyduokių, Lyduokliai
It's listed in the JewishGen Gazeteer, not in the Jewish Communities Database.
A tiny village 8 miles from Ukmerge. In 1874 it must have been something out of the Sholom Alechim stories.
It's proximity to Ukmerge, Sirvintos and other towns where my family lived clinched it.

My deepest thanks to everyone who responded.

Laurie Sosna