Like the (maybe apocryphal) story about the actress Jean Harlow meeting Margot Asquith (wife of the then British Prime Minister) and addressing her as if her name was pronounced "Margotte" instead of "Margo".
"Oh no", said Margot Asquith, "the 'T' is silent, as in 'Harlow' ".
And, yes, Calliopespa, it does sound as if it’s short for Lolita which, as you say, was "a disturbing story about a pervert and a young girl".
In fact, I think the first few lines of Lolita involved the name:
"Lolita, light of my life, fire of my loins. My sin, my soul. Lo-lee-ta: the tip of the tongue taking a trip of three steps down the palate to tap, at three, on the teeth. Lo. Lee. Ta. She was Lo, plain Lo, in the morning, standing four feet ten in one sock. She was Lola in slacks. She was Dolly at school. She was Dolores on the dotted line. But in my arms she was always Lolita."