This name, being the name of the Queen of the Belgians (nee Fabiola de Mora y Aragon) became extremely popular in Spain (the queen's native country) during the 60's. [noted -ed]
Fabiola is gorgeous. It sounds so beautiful. It's got everything going for it (to me); lots of vowels, stressed "o", and it ends in -iola. Fabiola is graceful, passionate, elegant, dark, mysterious, and seductive.
And you get the lovely Lola as a nickname. I'm jealous of anyone called this!