I know that it is from an old Greek and
Roman mythe (Pyramus and Thisbe, a mythe which explains why the mulberry carries red berries...
Ovid wrote one of the versions of this story) In the mythe Thisbe is a female, so I assume it's a female name. I don't know what the name Thisbe means, but in my Latin class we had to pronounce Thisbe as TIZ-bay.