I sounds like a joke from what I can read...Some comments backed by the fact that the domain is not operational(held by would-be squaters) would seem to support this...
http://www.asianjoke.com/pictures/baby_mop.htm
http://www.babble.com/CS/blogs/strollerderby/archive/2009/02/19/would-you-buy-the-baby-mop.aspx

"But don’t try to rush out and buy one. There is no info on where and how to buy it, so maybe it’s just a joke/dream. Alas. Check out the hilarious ad above, which was directed by Chris Milk who directed a hit video for Gnarls Barkley."

http://www.crunchgear.com/2009/02/18/baby-mop-cleans-floors-with-crawl-power/
"At the end of the day the Baby Mop appears to be a joke, not an actual product."

http://f.inventorspot.com/files/images/babymop.img_assist_custom.png

And when they get older, make them wear the slippers!
http://f.inventorspot.com/files/images/boot4.img_assist_custom.jpeg

Digging further in, it looks like it may have been a prototype/concept, but never actual product:
http://dvice.com/archives/2009/02/baby_mop_makes.php
"By roshinobi at 9:59 PM ON 02/18/09

I've seen this before in a book called "The Big Bento Box of Useless Japanese Inventions." The picture there was of a prototype made by the author of the book based on one of many patents he found for that and similar "chindongu," the Japanese term for these useless ideas. It's definitely not something anyone takes seriously anywhere."

http://www.chirky.com/2005/08/moppet_babbies.html
"Excerpt taken from The Big Bento Box of Unuseless Japanese Inventions by Kenji Kawakami.
Baby Mops"

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