I am coordinating this name in Maine. Years ago I went to the American Canadian Gen Soc Library in Manchester and told them I was looking for a Quebec name of Boudway or Boardway. He said "No, you're not; you're looking for something that got turned into that name."
Turns out that Francois Xavier Beaudoin md Marie Anne Crozier 6 Feb 1835 in St Marie, Beauce, QC. They moved to Orono Maine in 1852 and became Boardway, a close Americanized pronunciation. Didn't hurt that they also made boards in a sawmill. Each of his sons took various spellings: Boardway, Boudway, Boadway, and Budway. I have a printout of all known descendants on the genealogy index page of my website. I look forward to hearing from more cousins.