[size=12]Looks to me like your markings would have said "Griswold's ERIE," which was a marking that they used just before they switched to the familiar cross-and-circle logo. 781 was Griswold's p/n for a size 3 Scotch Bowl.
When in doubt, check the bail attachment ears. Ears of the type on this bowl, which are flush with the top of the bowl but provide for a bail stop when lifting and pouring contents, were patented by Griswold. There are some other kettles that used them too, I think, with or without Griswold's knowledge, but usually those ears are indicative of Griswold.
Too bad about the cracks. My 781 was also an oops purchase of mine -- terribly pitted. It's the only piece I ever rotary wire-brushed, and that was just because it was already so far gone that I figured I couldn't possibly hurt it.[/size]