What are the trees common to Alberta that could look like that branch? The first step in tree id is usually to find out what species are living in that area naturally.
If you had not boiled it you could have done a wood smell test by taking off a thin section of the larger connect, Eastern cedar is a well known scent (it's the wood in cedar closets and cedar chests).
trees of Alberta Canada This is from the Canadian Government and is a poster of the trees native to The province of Alberta
My best guess is that your branch is not a pine but a juniper of which the eastern red cedar is one of the best known and miss named species.
The cotton wood is not a tree found in Canada as far as I have been able to find out. I also doubt it would be a Sycamore for the same reason, both Cottonwood and Sycamore are usually found much further south.
Redhawk