"children's game," 1738 (in reference to "Queen Mary's reign"), perhaps a variation of Scottish tig "touch, tap" (1721), probably an alteration of Middle English tek "touch, tap" (see tick (n.2)). Baseball sense is from 1912. It's not an acronym and doesn't stand for anything.

"morning," 12c. in compounds (morge-sclep "morning-sleep," morgewile "period around daybreak"); mid-13c. as morewe; c. 1300 as morwe; a shortened variation of morewen "morrow" (see morn). It was formerly common in the salutation good morrow (late 14c.).

1861 (adv.), 1870 (n.), "tremulous effect in music," from Italian vibrato, from Latin vibratus, past participle of vibrare "to vibrate" (from PIE root *weip- "to turn, vacillate, tremble ecstatically").

Strictly, the vibrato is distinct from the tremolo, in that the latter involves a perceptible variation in pitch; but in common usage the terms are made synonymous. [Century Dictionary]

mid-15c., innovacion, "restoration, renewal," from Late Latin innovationem (nominative innovatio), noun of action from past-participle stem of innovare "to change; to renew," from in- "into" (from PIE root *en "in") + novus "new" (see new). Meaning "a novel change, experimental variation, new thing introduced in an established arrangement" is from 1540s.

in chemistry, "property of existing in two or more distinct forms, variation of physical properties without change of substance," 1850, from French or German allotropie (1840), from Greek allotropia "variety," from allos "different, other" (from PIE root *al- (1) "beyond") + tropos "manner, way" (from PIE root *trep- "to turn").

c. 1500, in philosophy, "determination by a mode or quality," from French modification (14c.) and directly from Latin modificationem (nominative modificatio) "a measuring," noun of action from past-participle stem of modificare (see modify). Sense of "a result of a variation or alteration" is from 1660s. Meaning "act or process of altering in character, form, or function" is from 1774.