I came into possession of what appears to be a Waltham pocket watch but do not see a serial number so I wonder what this really is.
If anyone can help in identifying I would be most appreciative.
Yup. Swiss, and not particularly old.
Enjoy it for what it is, especially if it still works, and don't worry about what it isn't.
If it does still work, then you may wish to sort out a replacement bow from somewhere, e.g cannibalise it if you happen to have some random non-antique but broken watch laying around.
Have fun with the pliers.