It is pretty well impossible to trace a Ross by the serial number. The main reason is that no complete records of Ross issues are known to exist. Add that to the common instance of multiple serial numbers or the lack of serial numbers on many rifles. Depending on the model, serial numbers were stamped on the underside or the side of the reciever, and hidden by the stock. Also, units were known to stamp their own serial numbers and rack numbers on the stock.
A rebuilding project based on the barreled action you have would be difficult and very expensive to say the least. Huge numbers of Rosses were cut down and sporterised after the war, unmodified wood parts (stocks and handguards) are rare and sought after by collectors. In addition you need the proper patterns or barrel bands, screws, sling swivels etc. I would talk to a gunsmith or advanced collector who is familiar with Rosses.
If you decide to go ahead, you need to determine the model of Ross that you have. Apart from the M1905 "carbines" there were two major models: the M1907 Rifle, generally known as the Mark II; and the M1910 Rifle, known as the Mark III. The M1910 was the main rifle used by the CEF overseas until replaced by the SMLE in 1916. The M1907 Ross exists in virtually a hundred variations, mostly minor but there are variants and modifications of the M1910 as well.
The images of the two major variants of the Ross recievers are illustrated below: top is the M1907 Mark II, below is a M1910 Mark III.
There are a number of good books dealing with the Ross, I suggest you check out
http://www.servicepub.com/
If you decide to go ahead, it would make an interesting but long term project. Good luck with it.
On another note, even a stripped barreled action is considered a firearm for registration purposes in Canada.