My guess is that the name Paderier or Paderiver comes from the village Pader near Slutzk in Belarus. The ending -er is yiddish. The slavic ending -ski gave the names Paderski and Paderevski. Look A. Beider, A Dictionary of Jewish Surnames from the Russian Empire, Avotaynu, 2008. The passenger manifest for the Mishelov family in 1919 shows that they came from Uzda, which is between Slutzk and Minsk. It fits with an earlier origin from Pader.
Hope this helps,