Great idea on the rubbing, I did the best I could here and think I got some good pics. In the last ones I was trying to show the seam around the rim of the lip. I hope it's visible. The side seam only goes to this ring on the lip, not all the way to the top. The ring from what I'm guessing is the suction cup holding the bottom during manufacture is way off kilter and actually goes out to the side of the jar. Dimensions I measured were approx. 3 3/4in tall, base dia 1 7/8in, lip dia 1 3/8in.
Also, because the universe likes coincidance, I found the GW bottle up in the banner of this website in a thrift store today! It felt like a good omen so I bought it. Looks like they aren't worth much on ebay, but it's still an interesting bottle for 6 bucks!