Back in the '70's Priscilla Herdman did a version of this she got from, I believe, Joe Hickerson. She slowed it down massively, to match the train's speed:

On the...dum.my line,..the dum.my.line...rise.and.shine.on.the.dum.my,..dum.my..line;...
Rise.and..shine..and..take.your.time..
Get..your..ticket..at.the.sta.tion..on.the.dum.my,dum.my.line.

The periods represent stops. She said she got the idea while transcribing the song over the phone. The excruciatingly slow cadence of the song works really well.