>>2343128The US is one country broken into 50 states. The whole country has a national government and each state has its own state government, but the national government often gets the final say on things. Consider how you have your country's government and then you have your city/town government, it's like that.
National Forest = Forest Owned by the National Government
State Forest= Forest Owned by the State Government
We also refer to forest by their location relative to the ocean/region/mountains.
West coast forest= along the Pacific coast
East coast forest= along the Atlantic coast