Most of your other corrections are pretty much how I learned it, but I don't think I've ever heard this verse before. Is it really something that gets sung?
The only bit at a game that ges sung is this:
All round the Fields of Anfield Road
Where once we watched King Kenny play (and could he play)
Stevie Highway on the wing
We had dreams and songs to sing
About the glory round the Fields of Anfield Road
(repeat)
The only time the other verses get sung is before the game when it gets played over the speakers at which the whole song is played and whoever wants to sing along does
I agree with others who have said it should be 'we had highway on the wing' and not 'stevie'.