Technically, you can score any way you want, make your own annotations. Would be best of course to use annotations that everyone else uses, or at least what most people would use.
When I was a kid on a softball team and I didn’t play (most of the time), I was more often than not the scorer. That was simply marking an X when a guy was out and fill in the diamond when he scored. That’s all that was needed for that purpose and nobody showed me more elaborate scoring. I learned that myself going to real (MLB) games and sometimes scoring while watching on TV or listening on radio. Some scoring instructions on cards helped but also TV announcers would explain it at times.
My card looks a bit like what Pixel_Dent posted but a bit more complicated. I usually add the out number wherever it happened and one dot for each RBI. Outs on the bases, I’ll add the player’s number that was at the plate. I make a bar over the box on pitching changes so I know who was his first batter faced. Anything to help me later reconstruct the game.
I’ve had a few WW annotations in my day.