I'm almost dead-certain that it's not TI. No silk-screening is going to make things harder to identify, particularly since the solder side isn't shown in your photos. I can make several guesses, but that won't help you with the PROM contents, not the contents of any programmable logic.
Your best bet is that someone recognizes this.
Could also be a board for a terminal or the like. Those 18 pin memory DIPs could also be for some inMOS 16K RAM for example. I guess one could bite the bullet and work out likely candidates for the 40 pin DIPs. and what appears to be 24 pin PROMs.
The device pads in the lower right corner is likely for a battery.
It is weird that even with the "pl11013" I can’t find any info about it. I hope someone have seen one of this and post some info here. Should is better to move this post in a general discussion as it it is not a Texas Instruments product? Or it is?
Even with no date printed on the pcb, can we assume it?
The only clue I can see as to what chips this board was intended for is the traces connecting the two 40-pin regions. I didn't find any pair of chips that had to be connected on those pins but there are a lot of 40 pin chips I have never used and have no documentation for.
Here are my guesses now that we have the solder side in view. On the component side, the leftmost 40 pin IC appears to be an MC6800 or 6502. That's as far as I've gotten thus far. As far as the RAM array, probably 2147s.
Maybe the CBM or Apple folks can take over and fill in some blanks--I'm not much of a 6502 guy.
The RAMs are definitely 2114. Pins 1-7, 15-17, 10 (A0-A9, WE) are all connected both ways, pins 11-14 (IO1-IO4) are only connected between every other row, and pin 8 (CS) is complicated. So 8K bytes total.
CPU is definitely a 6800 or 6502, ground on 20 and 40, Vcc on 8.
Pin 38 is NC on 6800, SO on 6502, and is tied to GND (normally should be tied to Vcc), so clearly a 6502.
And it bothers me that one of the 24-pin positions ties pin 1 to 24 and 23. I think those might be GND and it's a 6850. The 6850 data pins are on 15-22, and that looks right.
I can fill in some of the jellybean TTL packages, but I'm not familiar with 65xx peripherals, so the 40 pin packages other than the CPU will be an uneducated guess on my part, but almost certain include a 6522 PIA.