Felt

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Old English, of West Germanic origin; related to Dutch vilt, also to filter.

wiktionary

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From Middle English felt, from Old English felt, from Proto-West Germanic *felt (compare Dutch vilt, German Filz, Danish filt, French feutre), from Proto-Indo-European *pilto, *pilso 'felt' (compare Latin pilleus(“felt”, adjective), Old Church Slavonic плъсть(plŭstĭ), Albanian plis, Ancient Greek πῖλος(pîlos)), from *pel- 'to beat'. More at anvil.

Old English fēled, corresponding to feel +‎ -ed.

etymonline

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felt (n.)

unwoven fabric matted together by rolling or beating while wet, Old English felt "felt," from West Germanic *feltaz "something beaten, compressed wool" (source also of Old Saxon filt, Middle Dutch vilt, Old High German filz, German Filz, Danish filt), from Proto-Germanic *felt- "to beat," from PIE root *pel- (5) "to thrust, strike, drive," with a sense of "beating." Compare filter (n.). Felt-tipped pen (or -tip) is from 1953.

felt (v.1)

"to make into felt," early 14c. (implied in felted); see felt (n.).

felt (v.2)

past tense and past participle of feel (v.).