Never heard about a Skylight 1B, but if it keeps the same logic as the classic Kodak Wratten code, it would mean it has a stronger effect than the 1A.
For instance, 81 warming filter (light brown) is the lightest, 81A a bit stronger, 81B even stronger and so on.
I would not recommend the use of Skylights, as they'll just add an awful pink colour to your pictures. They are old stuff from the film era, used as UV / warming combination. If you need to protect your lens, use a UV filter or even better a Neutral Protective one.