The first thing is that the Provincial Court Judge would have made a transfer order. You need a certified true copy if that and of the pleadings. Those can all be had at the Small Claims Registry.
Those documents are then filed at the Supreme Court Registry. In larger towns and cities, it could be at the same registry counter.
The instructions are located at Rule 19-1 of the Supreme Court Rules. Here is a link.....
You will note that after filing, an amendment must be made to the Notice of Claim and when so done, that document is deemed to be a Supreme Court Notice of Civil Claim.
Thank you Tom, the judge and the clerk at the settlement hearing did know this.