If you say you are not looking for a serial number, then why does your post reads "Need Serial Number!"? What do you expect us to think. Your intentions might be innocent, but there might be someone here that would be stupid enough to post a serial number 🙁
Well, at least you got your answer juiio provided you all you need. I suggest you at least have the SKU number from the Epson printer (for validation) when you call them.
Good luck...