Free has many meanings, which must be derived from context.
With regard to the use of the word "free" in the 1st amendment, specifically in the phrase "prohibiting the free exercise thereof", the most obvious meaning of the word "free" means without (government) encumbrance or interference. There are those who maintain that taxation is a form of encumbrance.
However, the use of the word "free" in the 2nd Amendment obviously does not have the same connotation. In fact, the adjective is used in conjunction with the state - "free state" - whereas the word "free" in the 1st Amendment modifies the noun "expression" - an action of the people. That definitely gives it a different over-all meaning, and the conotation that taxation of the government being an encumbrance cannot be applied to "free state" as it can to "free expression of religion".
Thanks for your response.
I wonder if "Dixie" agrees.