Here's a lovely list of ID3 tag editors, along with several pages of interesting comments below the original article. The article mentions the editor that I tried out before, mp3tag.de:
http://lifehacker.com/5266613/six-best-mp3-tagging-tools
The following page maintains that it is possible to edit tags in Windows Media Player 12, but it probably only edits the tags that are windows compatible or something like that. Plus the lack of a discrete save step is a disturbing sign:
http://kb.sandisk.com/app/answers/detail/a_id/8029/~/editing-id3-tags-in-windows-media-player-12
That having been said, I recalled that the last time I was stuck on a problem with ID3 tags, I downloaded Mp3tag and it worked well. It looks sort of like the older, easier to use iTunes tag editor with the added bonus of being able to select and save in old tag formats. Being able to see all the tags at once, poke those that need changing or do a batch change, is nice. Once I changed all the tag names to include track number, and fixed the track number tags, the files began to play in the correct order for the album I had imported from analog.
http://www.mp3tag.de/en/