My girls both swallowed a lot of bath water as babies. I stopped using bath washes and used heaps of olive oil or natural stuff early on though, but I'm sure they must take it into consideration when making it?
OT, but I stopped using Johnson products when DS1 was a couple of weeks old and I discovered that they were petroleum based. His ezcema nearly totally went away as soon as I switched to organic products.
WRT your question, I am quite sure it would do no harm. All babies and toddlers, and probably pre-schoolers (mine anyway!) drink heaps of bath water so your DD wouldn't be the first.
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