H is a date code that was on an inspectors stamp. The only models made in 1956 were those mentioned above.
99EG has a thin forearm with schnabel end. The 99F has a raised boss at the rear sight, 22" barrel and will have 99F stamped on the barrel. The 99R has a fat and wide forearm with rounded end and 24" barrel.
Welcome to the campfire. The fact Savages are confusing is why we are here.