Or Did the Fockos Get "Focko" Forced on Them? Given Travel Distance...

Genealoj probably has the more likely theory (and Kevin is a Levi):

"

In some countries, such as the Austro-Hungarian Empire, Jews were forced to take surnames with a German appearance, and they usually could not choose them. These arbitrary family names have no relationship whatsoever with either the trade or craft, nor the physical description, nor the geographic origin of the person so named. We have already quoted SCHWARZ, WEISS, GROSS, KLEIN, and ROTH. But there are also a long series of names formed with two German roots such as MORGENSTERN, MORGENSTEIN, APFELBAUM, BIRNBAUM, ROSENBERG, ROSENBLUM, ROSENBAUM, WEINBAUM, WEINBERG..... Note that the spelling of these names varies considerably, especially when they transited through Poland or Russia."

So, the theory that the Fockos who did not become Anusim left Slovakia for Poland stands.