Connect to QMS 2060 Printer

I don't have one of those - what do they tell you to use as queue name for LPD? The errors hint that you maybe don't have the "full" address entered.

I don't have that printer...
First, find the IP address of the printer (could be in a config printout, or on a front panel menu screen). Compare it with your computer's IP address to be sure it is in the same local subnet (if the 1st 3 parts of the IP address are the same, like 192.168.1.7 and 192.168.1.13, that's in the same local subnet).
Go to Print & Fax prefs pane. Click +(add). Select IP and then LPD. Enter IP address, and the printer's queue name (the queue name isn't made up - it is a part of the printer's address - you may need to find it on the same config page, or, read the printer's manual).
Select or accept driver (if none found, you can try generic postscript). Finish up. Done.

If you can't find queue name, try "raw" I found it online for another QMS printer.

HTH

Don, that is your router's internet address (you probably shouldn't pass that out). I'll bet your router's local IP address is 192.168.0.1. About the printer's IP - confirm that there's an ethernet connector on the printer - not an appletalk adapter.
You may be able to turn off/unplug the printer for 20 secs and then turn back on to get a real config page instead of test page.

Depending on router make - on my router(s), I can identify the IP address of various devices because currently-used IP addresses are listed next to Machine Access Code (MAC=HW address that you referred to above).

Subnet mask of 255.255.255.0 is most common for local area networks (LANs) - it means basically that only the last part is variable.
At this point, it appears your printer's ethernet isn't working. But it could be that it is set to an IP address outside the router's local net and not recognized. You need a way to figure out the printer's IP.

The MAC (media access control, what you refer to as the hardware address) address has nothing to do with what IP address you assign. To use the printer, you have to assign an address that can be reached through your local network segment, a protocol like LPR, IPP, or JetDirect, and in the case of LPR a queue name.

Glad you found the IP address, and sorry I couldn't help you get it!

Here's what I would do -
take the router out of the puzzle - connect ethernet directly between computer and printer. Now, since there isn't a router assigning an IP address to the Mac (computer), go to Network prefs > Built-in ethernet and set "configure manually" with IP address 192.168.1.5 (pulled out of the air).

Now try talking to the printer using an old standard protocol called telnet. On the computer, open the Terminal utility. Type:
telnet 166.033.128.024 (and return)

If this is going to work, you should get an answer back from the printer that says something very simple like:
QMS Configuration
? for Help
\>

The > is the input prompt. Hopefully it gives you some instructions when you type ? (and return).

Try to set an IP address that is in your local subnet, but away from the computer's IP address, so the router won't try issuing the same address to another computer in the future. Like 192.168.0.100