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Vital records for Realmonte are available on Family Search. familysearch.org
I was able to locate Antonio and Francesca's marriage record. Left hand image.
The record verifies their marriage date as 4 Nov 1905.
Antonio Burgio, single, 33, a farmer, born and living in Realmonte,son of Antonino Burgio and the deceased Giuseppa Putrone. Francesca Tuttolomondo, single, 22, a housewife, born and living in Realmonte.daughter of Gaspare Tuttolomondo and the deceased Giovanna Mallia.