Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
caelĭgĕnus (coel-), a, um, adj. [caelum-gigno], heaven-born: Victoria et Venus, Varr. L. L. 5, § 62 Müll.: stellae, App. de Mundo, p. 57, 29.