Question 1: Did any of those states secede in 1861?
Question 2: Why did those states have to explicitly reserve that right if it was assumed and why didn't other states similarly explicitly reserve that right if they intended to have the ability to excercise it later?
Please note that in the first part of my reply, I was talking about territories as well as states. Could New Mexico, as a territory, say, have seceded from the US and rejoined Mexico without a fight from the US government?