Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
balnĕātor, ōris, m. (acc. to Serv. ad Verg. A. 12, 159, and Prob. p. 1452 P., gen. comm., yet v. balneatrix) [balneum], one who has the care of a bath, a bath-keeper, βαλανεύς, Plaut. Poen. 3, 3, 90; id. Truc. 2, 3, 4: balnearis, Cic. Cael. 26, 62; id. Phil. 13, 12, 26; Plin. 18, 17, 44, § 156; Dig. 3, 2, 4, § 2; ib. 19, 2, 30, § 1 al.
Facetè, of Neptune: edepol, Neptune, es balneator frigidus, Plaut. Rud. 2, 6, 43.