"The Jacobite Rebellion came to an end with the Jacobites disastrous loss at the Battle of Culloden, April 16, 1746. After the battle, many of the captured Scottish soldiers were taken by the English to Carlisle, where they were imprisoned at Carlisle Castle. The English treated the Scotsmen rather capriciously, selecting some -- apparently at random -- to be hanged."
Some points you should note purely for historical accuracy:
1. It was a Jacobite Rebellion, as you stated, there were English as well as Scottish supporters of the Jacobite cause.
2. The rebellion was just that. Jacobite Rebels v Government of the United Kingdoms of England and Scotland, it most definitely was not a Scots v English confrontation. Cumberland's Army at Culloden included a number of Scottish Regiments.
3. The Government of the day may have treated Jacobite prisoners capriciously - The English did not.