Hello Kim, welcome to WAGS. Its good to have you. :) Now do you REALLY love that piece, or just kinda like it? Somebody sure has abused it.
The reason I ask is because they are relatively easy to find, unless thats a really rare one, which I don't think it is, but I can't really tell from the pictures because I can't see the numbers or enough of it to know exactly what you have here. But my guess is that it is not uncommon. After me saying this, and if you want to save it, and you don't want to use lye, first, lye won't help your piece. You need to get the rust off of it. If you don't want to set up an electro set for one piece, and I don't blame you for not wanting to. The best thing to do is get you a drill with a soft Stainless Steel brush and start slow and start taking that rust off, and then it stil lmay be pitted really bad. But do that, and that will take the rust off. There are easier ways if you read our cleaning section, like electro, but it ain't worth it for just one piece.
Good luck to you, and do come back and let us know how you fared. :)
OH, and if you want to post another picture of the bottom, we'll be able to determine exactly what you have there, be sure to include the numbers.