Actually if you read the Articles of Confederation, the first article is to name our country the United States of America. . . . so yeah it did exist.
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I'd think you might as well use whomever was President of the first Continental Congress. The first time I heard this was on the companion website for that god awful "Assume the Position" special by U of H alumnus Robert Wuhl.
That's like asking who was the first president of the EU. No one cares. USA! USA! USA!! USA! USA! USA!!