I think it's Rainforest, not Rainbow. Maybe she was just reading a bedtime story to her youngest before she made that video and it got stuck in her head.
As to registration, I'm of the opinion that it's just a product and might have a trademark assigned to it, but not a company that requires registration somewhere.
No more than a candy bar of the Mars Corporation would.
BWDIK? So, I'm not going to argue the point.
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