You have great pics, can you get one of the circuit board for the 12V? All I can do is try to scan one, probably won't be very good. Only 7 parts on both of mine, transformer couple resistors, a cap, and I think a gate. About 20 various parts some strange on the 120V boards.
I took apart 2 12V CFL drop lights after reading your post. A couple things I found out myself.
The power going to the CFL can bite you, I wanted to be sure so I tried like 3 times and it does bite a bit! My drop lights had problems. One had a loose gate? I had to hold it bent in place to get it to work, bumped a wire on the bulb and got bit.
If you connect one wire to the bulb and just hold the other wire near the bulb will glow nice and the Gate gets very hot, found out when a wire fell off. Could be why the first drop light stopped working.
The 120V light that had been in the rain and only glowed a little in one spot, glows well, but it is a 4 U tube type for about 100watts output. 4 Pins, looks like 2 pins for 2 U tubes each. It presses/plugs into the 120V circuit board. Glows enough I can tell the tubes still work, but does not really light useable. Wondering why the 120V board does not work, I figured corrosion etc.. but it's clean and looks fine.
The 26Watt bulb (rated) looks the same as the one in your picture as far as I can tell, almost exact same. Wife was happy I finally put a second bulb in the kitchen, Hmmm well she is back to one now 
I popped it apart. Nice these thing aren't hard to get apart. Simply force a flat screwdriver down into the seam on the sides and pry it up. Top and bottom just snap together, pry apart.
I saw the 4 pins sticking up, with my eyes I thought it was heavy wire soldered to holes in the board. After about 30 minutes or more of looking for the soldering iron I found I did not need it. Close look and the thin stiff copper wire is only wrapped around the 4 pins, no real connection just wrapped tight. Find end with finger nail and untwist it.
To get the CFL drop lights apart I just cut the rubber end near the cord, peeled it open and pulled it off. Everything slides out of the clear tub easy. One of these is an older light maybe $10 from K-mart years ago, the other a $3 Big Lots light. Don't know which is which. Basically the same thing inside, but one is better made, same tube.
One drop light has a reflective paper backing and the circuit board is just there stuck inside.
The other has a metal reflector sleeve the full length and the thing I reffer to as a gate is screwed to it for a bit of a heat sink.
Otherwise the 2 are the same far as I can tell by looking. I will buy the $3 ones from now on to be sure!! If modding it I can add a heat sink myself, alot better one than thin metal.
As far as light and power?
The drop light was 8 watt it claims, used 2amps @ 12V so 24watts.
The 120V CFL says 26 watts, used 2.7A up to 3amps, seemed something caused it to gain .3 amps as it warmed up. So 3amps at 12V, 36watts.
As far as light output with mine sofar, the 26watt was far less bright on the 12V board than when on the 120V board. It may be more light than the 8watt tube produced though. Hard to tell durring the day, but I like the twisty 120V tube better.
Now that I found my solder iron I will fix the gate thing, make permanant connection and test some more. Also I used a bank of 3 17amp SLA batteries. I found one of my 115amps gell cells needed charging and I am doing that now, will use it tonight. Maybe put the works outside for a yard light and see what happens if it don't rain tonight.