babysit (v.)youdaoicibaDictYouDict[babysit 词源字典]
also baby-sit, 1947, from baby (n.) + sit (v.); figurative use (often contemptuous) by 1968. Babysitting is from 1946.[babysit etymology, babysit origin, 英语词源]
babysitter (n.)youdaoicibaDictYouDict
also baby-sitter, 1914, from baby (n.) + agent noun from sit (v.). Short form sitter is attested from 1937.
sit (v.)youdaoicibaDictYouDict
Old English sittan "to occupy a seat, be seated, sit down, seat oneself; remain, continue; settle, encamp, occupy; lie in wait; besiege" (class V strong verb; past tense sæt, past participle seten), from Proto-Germanic *setjan (cognates: Old Saxon sittian, Old Norse sitja, Danish sidde, Old Frisian sitta, Middle Dutch sitten, Dutch zitten, Old High German sizzan, German sitzen, Gothic sitan), from PIE root *sed- (1) "to sit" (see sedentary).

With past tense sat, formerly also set, now restricted to dialect, and sate, now archaic; and past participle sat, formerly sitten. In reference to a legislative assembly, from 1510s. Meaning "to baby-sit" is recorded from 1966.

To sit back "be inactive" is from 1943. To sit on one's hands was originally "to withhold applause" (1926); later, "to do nothing" (1959). To sit around "be idle, do nothing" is 1915, American English. To sit out "not take part" is from 1650s. Sitting pretty is from 1916.
sitter (n.)youdaoicibaDictYouDict
c. 1300, "one that sits," agent noun from sit (v.). As short for baby-sitter from 1937.