Lewis Short
dāmium (noun 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.
Charlton T. Lewis, Charles Short, A Latin Dictionary