Cook rice in 1 1/4 cups milk over low heat until fluffy.
Remove cabbage leaves from head and immerse in boiling, salted water; cook until partially translucent and pliable; drain.
Combine meats with 1 cup milk, salt, pepper, and rice; mix thoroughly. Spoon meat mixture onto base of cabbage leaf, roll up like a burrito. Place seam side down a cookie sheet.
Brown rolls in hot oil, remove from pan and place in a crock pot or Dutch oven. Sprinkle each layer of rolls with some brown sugar. Pour over tomato juice to cover. Cook in 350 degree oven for 2 hours, or crock pot til meat is done.
Grandma McGowan (Ila) would serve mashed potatoes on the side.