Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
‡ dāmium, ii, n.: sacrificium, quod fie bat in operto in honorem Bonae Deae. Dea quoque ipsa DAMIA et sacerdos ejus DAMIATRIX appellabatur, Paul. ex Fest. p. 68, 8 Müll [δᾶμος = δῆμος]; cf. "damium, θυσίαι ὑπαίθριοι γινόμεναι," Gloss. Lab.