yeah, Let Me Live originally started in 1982/83, with Rod Stewart on guest vocals. Though it has not officially been released, the demo recording can be found on the internet.
As for the song credits for The Miracle/Innuendo, I saw them somewhere, not sure where though, I'll keep looking.
You wouldn't need official info, however. Logic works well in this situation.
For example, by observing each member's overall style and lyrics, we can tell that Roger probably wrote Innuendo, The Invisible Man, and possibly These Are The Days Of Our Lives. Brian probably wrote The Hitman, I Want It All, Headlong, and Breakthru. Freddie may have written The Miracle, The Show Must Go On, I'm Going Slightly Mad, Delilah, and Party/Khashoggi's Ship.
I may be way off on these lol, but these are my educated guesses.
We can only grow the way the wind blows
On a bare and weathered shore
We can only bow to the here and now
In our elemental war
- Rush, "The Way The Wind Blows"