Klāvs Siliņš: Latviešu personvārdu vārdnīca. Riga "Zinātne" 1990, ISBN 5-7966-0278-0
Population Register of Latvia: Līva was the only given name of 1970 persons in Latvia on May 21st 2010.
Etymology
First recorded as a given name of Latvians in 1461. Possibly from Līvija(“Livia”), or a feminine form of the rare medieval name Līvs, from līvs(“Livonian”). Compare Danish Liva.