Apparently the families of the two trysters care about this. If I were related to Harding in any way, I would probably deny it for other reasons. He is often rated as the worst president (certainly in the bottom three or so).
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No, not Bill Clinton.
Warren Harding. (A Republican it should be noted)
http://www.nytimes.com/2015/08/13/us/dna-is-said-to-solve-a-mystery-of-warren-hardings-love-life.html?_r=0