Why is Kewpie called Kewpie?

I was in Shibuya with a friend and we saw a bus with a big picture of a Kewpie doll on. Well, it was an advertisement of Kewpie Mayonnaise...
After that, we started talking about Kewpie and we both didn't know why it's called Kewpie.

So, I looked it up on the net and found that it's a baby-talk version of Cupid. Well, maybe everybody knows... but I didn't know... :P

"KEWPIE DOLL - was invented early in the twentieth century by one Rose O'Neill and had a vogue certainly rivaling that of the Teddy bear and the more recent 'Barbie.' Miss O'Neill chose the name as a baby-talk version of 'Cupid' and the first illustration was of a chubby baby fairy, complete with topknot." From the "Morris Dictionary of Word and Phrase Origins" by William and Mary Morris (HarperCollins, New York, 1977, 1988).

Now.... I have another question... Why Q.P. Corporation picked up the name Kewpie and it's character. In their corporate site, it says the founder Mr. Nakajima encountered marmalade and mayonnaise when he was studying in Britain and the U.S. and that's the start of their business. But it doesn't really say about Kewpie ...