Hypothetical: If a nation produces absolutely no good or service, would the currency notes it has have any value? We're considering a nation for which the basic necessities are met by another nation, for free.

Now, the nation has lots of currency notes. But it produces nothing. Would I be right in saying that the value of these currency notes is an absolute zero?
I'd say no. No production is required for a money to have value. Money can be valuable  because it facilitates trade. That is, whatever good is used as money can be more valuable than its intrinsic value because it is an liquid instrument that can be used in trade with others to solve the double coincidence of wants problem. Even pure endowment economies can utilize money for this purpose as long as people are not endowed with bundles that are also their equilibrium bundles and the economy is one in which money has a use (see Starr (2003) for several examples of how this can happen). Essentially, money is needed in circumstances where barter and good specific debt is costly or impossible. 

For a famous example of an economy without production that did use money consider Radford (1945), 
The Economic Organisation of a P.O.W. Camp. In this paper Radford documents how the POW inmates, despite having no production to speak of, with all goods provided by either the captors or the Red Cross, use loose cigarettes as money to price goods and solve the double coincidence of wants problem.