Dumping firmware/software...and/or reflashing??

Good find. I do agree with you on the ATtiny44 branding. You must have had some good lights and a good magnifier or good camera (maybe with macro lens). Your text below T20Ver2 is clearer as well. Instead of 20SSO it looks more like 20SSU. From what I've seen on the Atmel site that number doesn't refer to a specific Package or anything like that, it refers to the ordering code. In the case of the ATTiny44 that ordering code links to one with the package of "SOIC (150mil) 14S1 14". Power supply for this chip is 2.7-5.5V and is 20MHz.

You probably have already seen the information, but at least I feel like i'm contributing lol.

For programming an ATTiny44 checkout this webpage as well http://hlt.media.mit.edu/?p=1695