The idea of the Singleton pattern is to use the same object and not to create a new one. Apart from all the syntax errors in you code snippet, you shouldn't be trying to create a 'new' Singleton. Instead in class B you should have a line like this: private Singleton singleton = Singleton.
Instance The way you wrote it, it wouldn't compile because the Singleton's constructor is not visible in class B.
First, if you are exposing this outside the project, please consider using Abstract Factory Pattern instead of Singleton. See my own question for why this can get out of hand.
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