Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
faenīlĭa (fēn-, foen-), ĭum, n. [faenum, I.], a hay-loft: nec totā claudes faenilia brumā, Verg. G. 3, 321; cf. Col. 1, 6, 9; Plin. 18, 28, 67, § 258; Ov. M. 6, 457.