Hi Steve, The custom of not naming children after living relatives is only in Ashkenazi circles. Many Sephardic Jews commonly give names of living parents to their children.
I am not familiar with surnames from Moldova (despite having ancestry in Kishinev), but to me your last name BUZILA sounds like it could have Sephardic origins. I believe there were relatively large numbers of Sephardim in the more South Eastern parts of Europe like Bulgaria, Romania,and up to Moldova. I don't know how the families in Poland and Belarus are related but is it possible that there was some sephardic heritage there too.
Just raising the possibility even if it's unlikely.