I guess the mysteries will continue. I know my father told me once that the
Begun name came from centuries ago and was given to people fleeing the government, military inscription, religious persecution, etc. Upon entering a certain part of Russia, especially the Cossak region, they were named the Bieguny. Although photographs help establish resemblance, perhaps only DNA/blood testing could really determine relatedness. Internet is great, but you can't see anybody to say, gee, he/she looks like my
Uncle Peter, etc. Anyway, Good
Luck, keep searching!
Tatiana