fawn (v.) Look up fawn at Dictionary.com
Old English fægnian "rejoice, be glad, exult, applaud," from fægen "glad" (see fain); used in Middle English to refer to expressions of delight, especially a dog wagging its tail (early 13c.), hence "court favor, grovel, act slavishly" (early 14c.). Related: Fawned; fawning.
fawn (n.) Look up fawn at Dictionary.com
"young deer," mid-14c., from Anglo-French (late 13c.), Old French (12c.) faon, feon "young animal," especially "young deer," from Vulgar Latin *fetonem (nominative *feto), from Latin fetus "a bringing forth; an offspring" (from suffixed form of PIE root *dhe(i)- "to suck"). It was used of the young of any animal as recently as King James I's private translation of the Psalms, but the sense has been mainly of deer since 15c. Color use is by 1881.