Beware, older languages below! The languages below were invented during Tolkien's earlier period and should be used with caution. Remember to never, ever mix words from different languages!

Gnomish

suithli

noun. towel

A noun appearing as G. suithli “a towel” in the Gnomish Lexicon of the 1910s, related to G. suitha- “to dry, wipe” and G. suib “dry” (GL/68).

Neo-Sindarin: Since N. parch is a later word meaning “dry”, I think it is worth positing a neologism ᴺS. parchol “towel” for purposes of Neo-Sindarin to replace G. suithli.