Love playing this tune--in fact I just did it at a gig on Thursday night this past week. I have always done the first part of the intro pretty close to Jerry's, but then I kind of BS'd the 2nd half, so it was good for me to take the time to figure out the whole thing. I also tabbed out Griz's solo, which happens in bars 17-24 (that part gets into the highest register of the guitar, and if you're playing it on an acoustic you'll probably need to drop it an octave).
All in all it's a good look at how Jerry deals with lots of chord changes--it's not all that often, actually, that you hear him playing through a tune with this many changes. A lot of the licks come straight from the D blues scale, though that scale won't get you through all of the changes.
FYI, the tune is a 32-bar "ballad" form (4 phrases, 8 bars each) along the lines of many/most of the great American jazz standards.
Here it is in PDF format: http://backoffice.i5fusion.com/media/b7a81d39-c159-4696-a8f0-d3342985bb83/Russian-Lullaby-Intro.pdf