>I have an object that I built an error handler and logger for. In that object, I call a function. If an error occurs in the function it would be nice to call the error handler in my object. Is there a way for a function to determine what object called it?
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>Or is this just all-around bad programming style?

The error in the function would trigger Error event of your object and you can process it there or pass it to the error handler.