Daina, derived from the Latin 'Daiana', means 'divine' or 'heavenly'. It is of Latin origin and was traditionally a name given to women born on the feast day of St. Daina in the Catholic Church's calendar. Although not widely popular today, it was once a common name in medieval Europe.
"Daina was quite popular as a baby girl's name in 1971, with five little girls given that name."