2nd Player controls:
Fonas Baseball (1979, LED, 9 Volt, Model# 2B-610)
So far I've found evidence of three Fonas games, but I believe they've made several more. (I see this one on Ebay all the time as an unknown Baseball, with the 'Fonas' sticker missing. :) It has a two player option with controls under the black lid at the top for player two. Also licensed to Sears as 2 Player Baseball and Talbot also as 2 Player Baseball.
2nd Player controls:
Do I have this? Yes, boxed (need a better box).