Hmm. I am not sure of Rita, but I have to admit that I am influenced by the fact that my SIL is called Rita. I do like the Rita Hayworth/movie star thing.
Don't like Lorelei, as it is a big lump of stone near Bonn.
And the original Lorelei:
"Myth soon had her as a mermaid, sitting on the rock and luring sailors to their death, but it wasn't until Heinrich Heine's 1823 poem 'Lorelei', about a virgin combing her golden hair with a golden comb, while singing a song with a haunting melody, and Friedrich Silcher's setting of it to music a year later, that the legend really took off"
here and a bit sad.