I don't see any rules of grammar that it violates. I'm not sure if I can interpret it the way you intend it, though. That last word, for example:

{wIHaH'eghmoH}

Normally, {-'egh} requires a no-object prefix, but {-moH} usually turns a verb with no object into a verb that has one. With your translation of "we bathe it", using both suffixes like that makes me wonder what nuance you're trying to express that isn't carried by just {wIHaH}.

-- ghunchu'wI'