While others hear Pink Floyd, I hear Peter Gabriel.  Regardless, this is a terrific song.  In spite of the vocal tricks, the vocal convincingly carries this tune.  Well done, ol'pal.

I love verb.  Great listen.  Maybe stick the beginning vocal off to a side...or move it around in the beginning, to add more "reason" why it sounds the way it does.  Liked very much how it changed once the song kicked in. 
One minor nit might be to change the production "sameness" to it... (bring stuff in/out more to keep things changing) if you're shooting for that length of song.  Keep if from being "straight lined". 
Very creative.    oh yeah...love the reverb!  ;-)

Kind of Tom Waits sounding to me.
 
BTW, me likey Tom Waits.

Love this track.  I love the simple but effective vocal harmony for the first "My Jenny girl" in each chourus.   Nice work.
 
Twisted lyrics, but very effective!

Lovely track and well recorded. Another nice one by DH Riley!

what a great tune...man this was just up your ally....very slick..
 
great arraignment.
 
Loved it!

Great story tune, and the vocal was perfect for the telling.  Well done!

I have to say that you always tweak my interest when I see your latest song posted and I am rocked again by the diversity you show in your work. Your mixes are always great and a pleasure to listen to. Exemplary songwriting skills and imaginative arrangements. Accomplished musicianship. Now before your head bursts that sombrero just know that I'm not going to tell you how great "Jenny Girl" is. I just want to comment on your body of work and say that your ability speaks for itself. Its a treat to be pleasantly surprised when I click on you...............Via con Dios amigo......................Ron

oh wow, I love those sweet BGVs!  especially the girl singing - best part of the song, IMO.  but the other BGVs are awesome, too.
 
I do think the beginning is a little TOO muddy, but that's just my opinion.  the phasey vox for the rest of the song really set the mood of the song.  the melody is "haunting"
 
the synths in this are really well done!  what did you use for them?
 
this is excellent all around.  my only crit is about the beginning vox.  otherwise this is simply maaavelous ol pal!

@Ron...I owe you a martini Ol pal. Thank you so much for your kind words. I plan on having several more up soon (all different genres) and finally be shut of this particular project I've been dawdling to finish.

@Reece...Ditto...and that's actually a glass harmonica...not a synth.