Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
cŏcus, v. coquus.
cŏquus (ante-class. cŏquŏs; in many MSS. and inscrr. also cŏcus), i, m., a cook (very freq., esp. in Plaut., in whose comedies the cook takes a conspicuous place), Plaut. Ps. 3, 2, 11; Ter. Eun. 2, 2, 26; Varr. R. R. 3, 14, 3; Cic. Rosc. Am. 46, 134; Liv. 39, 6, 9; Mart. 14, 220, 1 sq.; Dig. 40, 4, 24 et saep.
In ancient times the cook baked also the bread; cf. Naev. ap. Paul. ex Fest. p. 58, 14 Müll.
From the ancient writing, quoquus for cocus, originates the pun upon the voc. coque and quoque, Cic. ap. Quint. 6, 3, 47 Spald.