It's another one I can recommend on the grounds that it has a pleasant melody (especially the Chorus - no need to play the Verse if it doesn't appeal) and a very simple chord structure. It's a standard 32-bar song, with an A - A - B - A structure.
All in all, it could hardly be simpler.
There were various 'Hannah' songs at about that time - Hard-Hearted Hannah, Miss Hannah From Savannah and Oh Miss Hannah. They are all different and all worth playing.