More (bad?) news...
The display in your photograph does not match up with any of the DEM16101datasheets (such as the one in reply #3) that I have found.
The DEM16101 has it's terminals at the upper left of the pc board whereas your terminals are at the lower left.
Many (most?) of the displays with their terminals at the lower left use a non-standard pinout. It looks like I can see the number 16 printed on your display but that does not necessarily mean that pin 1 is at the other end. Some of those non standard pinouts actually go 14, 13, 12 .... 2, 1, 15, 16.
Also - once you get the pinout figured out you have to deal with the fact that a 'single blob' 16x1 display is configured as an 8x2. Positions 1-8 are on line 1 and 9-16 are on line 2.
Don