If you want something rare, it is best to make it yourself, use your imagination
If it is a name you already know, it will not be "rare"...
Dolores (virgen de Dolores--the Lady of Sorrows) The state of agony of the Virgin Mary during the crucifixion of Jesus.
Virgilio (the name sounds exciting)
The greatest poet in Rome. In later centuries, his works were actually considered sacred in the Roman Empire and were revered by Christians, including Dante, who used Virgil as a guide to Hell and Purgatory. Virgil's influence on European literature can be said to be second only to Homer.
Inmaculada Concepción (Immaculate Conception of the Virgin)