Casey didn't know nothing about the broken window.

Which kind of nonstandard English did she use?

Double negative

Casey used a double negative in her sentence, which is a form of nonstandard English. The phrase "didn't know nothing" is a double negative because it combines the negative words "didn't" and "nothing" to express a negative idea. In standard English, the correct phrasing would be "Casey didn't know anything about the broken window."