Chop your brisket into bite size pieces and place on a griddle to warm.
Butter 2 pieces of sourdough bread and place on the griddle to toast. While the one side is being toasted, butter the other side.
When the brisket warms up place your shredded cheese on top and let everything melt together
Flip the bread to let the other side toast and then place the cheesy brisket onto one piece and then add a little more cheese before placing the top piece of bread on.
If the bread needs to toast longer on the outside, flip the grilled cheese once or twice.