Etymology
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twill (n.)

"cloth woven in parallel diagonal lines," early 14c., Scottish and northern English variant of Middle English twile, from Old English twili "woven with double thread, twilled," partial loan-translation of Latin bilix "with a double thread" (with Old English twi- substituted for cognate Latin bi-, both from PIE root *dwo- "two"); the second element from Latin licium "thread," a word of unknown etymology. 

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Definitions of twill
1
twill (n.)
a weave used to produce the effect of parallel diagonal ribs;
Synonyms: twill weave
twill (n.)
a cloth with parallel diagonal lines or ribs;
2
twill (v.)
weave diagonal lines into (textiles);
From wordnet.princeton.edu