I'm sure I learned a good many new words from TH and LotR, as I read them (well, had them read to me) when I was rather young - about 5 or 6, I think. But that's long enough ago that I can't remember it particularly well.
I did learn a few words from HoMe. For instance:
ghyll = a deep, rocky ravine
shoon = old plural of "shoe"
clomb = old past tense of "climb"
champain = level, open country
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