Pretty sure the verse is C Am Bb F x4 and the chorus is C F G C x2
a simple bridge might be
Am C
Oh Darlin...
F C
and sometimes ....
Bb
for the world ....
Am
and still ...
F Am/G Bb C
but the actual bass line is different, so experiment and see what you get.
This is one of my Henley favorites, too. It actually got quite a bit of airplay back in the late 80's, especially as a recurrent on AC stations in my part of the US.
cheers, JoeyT
moderator edit - removed a few more of the lyrics due to copyright issues. Thank you JoeyT for understanding that lyrics can't be posted on the forum other than perhaps a one liner... just a few less words for each verse if you need to next time. 
MKM