As I recall, Van Ronk's version was much simpler than what Van Zandts appears to be - more along the lines of:

C
Every time I meet my baby, go up town
F
Police come and knock me down
C             F       G       C    G C
Cocaine, -- run all round my brain.

E7
Yeah Baby come here quick
    F
This ol' cocaine's 'bout to make me sick
C            F       G       C
Cocaine,-- run all round my brain