Constanța is a feminine given name documented in Romanian. English Wiktionary records an etymology for it.
English Wiktionary account
Source-reported
Originally known as Tomis in antiquity, the city was later renamed Constantiana after Flavia Julia Constantia, sister of the Roman emperor Constantine the Great; it was first attested as Constantia, or Κωνστάντια (Kōnstántia) around the mid 10th century.
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