Combine all of the brine ingredients except for the cold water. Stir for about 5 minutes to give the seasonings time to activate all of their flavors.
Add the warm water mixture to the cold water, and then add each of the Cornish Game Hens
Let the birds brine for at least 12 hours, and up to 24 hours
Remove the birds from the brine, rinse them under cold water, and then pat dry. Place on a sheet pan and chill for an hour. This will give the birds time to dry out.
Remove the birds from the fridge after an hour.
Combine the butter, rub, and scotch.
Rub the outside of each of the birds with the butter, and then place a small ball of the butter in the cavity of the bird
Smoke the birds at 325 degrees until the internal temperature of the birds is 165 degrees.
Let the birds rest for 10 minutes before serving