Which is It?

Ethan became sick again today with a fever which, at some point, prompted a discussion between me and Keith. Ethan was finally eating some food at dinner which encouraged me because he hadn't eaten much earlier and I said something like..."Oh that's good because THEY say, 'Starve a cold, Feed a fever'." Keith was convinced that it was 'Feed a cold, Starve a fever', and literally ran to his computer to prove me wrong, betting his life and everyone else's that he was correct.

I, of course, knew that I was right, partially because I had recently been pouring over childhood diseases in my "What to expect in the toddler years" with paranoid frequency. The book actually says that there is no medical basis for the old adage (a word I cannot pronounce correctly) but it is still a good thing to eat properly when feverish. I guess that's obvious.

Keith sticks by his internet research which he claims supports him. Can anyone clear this up? What is the original saying--Starve a cold or starve a fever??