The headword, extracted from the quotation given, is the present active participle, feminine nominative (and vocative) singular, of the verb kre/kw ("I strike, I stroke", but, generally with respect to musical instruments, "I play"); see LSJ s.v.
[1] The gloss is the present active participle, feminine nominative (and vocative) singular, of the verb au)le/w "I play on the aulos"; see LSJ s.v.
[2] So the chorus sings at Aristophanes, Birds 682-3 (web address 1).
[3] (See under kappa 2366.) From the scholia to Aristophanes, Birds 682. Occurring here in the feminine accusative singular, the kithara (kiqa/ra, h(, kiqa/ras; thus English guitar) is a Greek box lyre; cf. kappa 1590, kappa 2366 n. 2, and West, pp. 50-6.
[4] Greek Anthology 5.139.2, from Meleager [Author, Myth]'s epigram to the citharode Zenophila (Gow and Page, p. 224). The Suda substitutes ligu/ ("clear, whistling"; cf. LSJ s.v.) for the original a(du/ (a Doric form of h(du/s, "sweet"; cf. LSJ s.v. and alpha 536). See another extract from this epigram at pi 1502.