City and Colour: Hello, I'm In Delaware
I'm not, as it happens...I'm in Tyne and Wear.
Not the greatest of songs, but it fits the bill!
Try also (still not great songs, but it proves that somebody's thought of it!):
Neal Casal: Delaware Station [purchase]
Saves the Day: Hot Time In Delaware [purchase]
(from an album that also contains a Nebraska and a New Jersey song)
Drop Nineteens: Delaware [purchase]