I don't know how old it is, but I think it's safe to say that Lukey's Boat is a traditional children's song that's specifically Canadian. It was considered traditional when it was collected in 1928 and 1932, but who can tell how old it is? Most likely, it comes from the Atlantic coast of Canada, so it may not be authentic for British Columbia or even Ontario.
Sometime Mudcatters Cathryn Wellner and Richard Wright have a good deal of expertise on British Columbia music history. Their Website is http://goldrushbc.com/, and you'll find a thread on their CD here (click). You'll find information on how to contact them on this page.
-Joe Offer-