For my Lithuanian forebears, I have found that about 70-80% lived within the same district for most of their lives, prior to coming to the US. By that, I mean only moving to neighboring towns, not more than about 20 miles away.
But I have also come across some individuals, either young men or young couples, who had moved quite far away from their home districts, to other places within the Russian Empire. Some I found had moved to a neighboring uyezd, say 30-50 miles away from their home base. In the late 1800s, I found two couples who had moved from northern Lithuania to Riga, Latvia. One of these couples later moved to the US. Another couple moved to the city of Kaunas, prior to moving to the US. I even found one family who moved from northern Lithuania to Revel (now Tallinn) Estonia for several years, prior to coming to the US. So, there were some persons who did move about, and it has been worth it for me to look farther. I have also used results from AncestryDNA to weave together some of these disparate families, based on likely relationships amongst us descendents.
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Michele Lock
Lak/Lok/Liak/Lock and Kalon/Kolon in Zagare/Joniskis/Gruzdziai, Lithuania; Lak/Lok/Liak/Lock in Plunge/Telsiai in Lithuania
Trisinsky/Trushinsky/Sturisky and Leybman in Dotnuva, Lithuania
Olitsky in Alytus, Suwalki, Poland/Lithuania
Gutman/Goodman in Czestochowa, Poland; Lavine/Lev/Lew in Trenton, New Jersey and Lida/Vilna gub., Belarus