Source?
Google it and you will get about a million hits.
Here is Malkin's latest on it:
He was also a victim of an embarrassing Hillary Clinton whopper. Hilary scaled Everest in 1953. Hillary Clinton claimed for more than a decade that she was named after the climbereven though she was born in 1947, six years before he rose to worldwide prominence.
She finally admitted the lie in October 2006. In typical Clintonesque fashion, her campaign blamed her poor mother:
Here is one that has comment and analysis on her being named after him by her mother. (Snopes)
Here
Here
Here
Here
and
Here
But, that's only the first five of about 37,000 hits from googling "hillary clinton named after sir edmund hillary"