I pulled the wheel off and found the adjusters just like hotelcalif said. I didn't take much adjustment and the pedal feels better now, plus the brake lights started working. I would feel better if I could install a mechanical switch, but these cars have floor pedals and I haven't ventured that far into it yet. Thank you all for your help so far. Mark

Thanks all for the advice so far. I did the shunt wire test and both light were lit. The switch does look to be several years old. I'll pull the wheels off this weekend and try to adjust the brakes. Thanks again. Mark

First, get yourself a service manual. Then get another one because most manuals are confusing if you are still learning (like me). I've found that reading the same procedure over a few times in the Haynes manual and then again in the manufacturer shop manual usually clears things up. They're both confusing, but—if you are lucky—just not in the same places.

I've been through this same issue on my Mini. Assuming that your car is close to the Mini (which I could be completely wrong about, so perhaps someone else will correct me), here's what I know:

Testing the hydraulic brake light switch is super easy. Just remove the two spade connectors from the switch and shunt them together with a small section of wire. If the lights go on, your switch is bad. I've had the hydraulic switch in my car fail on me about once every other year. I now keep a spare on hand at all times.

Adjusting the drums is also a relatively easy job. There are lots of resources out there that explain the principles. I've found this site to be helpful as they have very high quality illustrations that are usually much clearer than the cutaway line drawings in most manuals. If you like it, you can throw some money his way and buy the full PDF or his app if you're into that kind of thing. 
https://www.howacarworks.com/basics/how-the-braking-system-works
For an even more visual illustration, Jemal made a video on this a few years ago. He's adjusting twin leading shoe front drums, but the idea is the same. Again, assuming your car is similar to the Mini, you will only have a single adjuster on the rears.
https://www.youtube.com/watch?v=ugdPqNfhc1k

You might want to get yourself one of these. It isn't absolutely necessary, but I've found it handy.
https://www.minimania.com/part/BLM810/Austin-Mini-Brake-Adjuster-And-Brake-Bleed-Tool-Wrench

Good luck!

You will find holes in the brake drums. Rotate the drum until you see the adjuster. Rotate adjuster to adjust brakes.

search on line for how to adjust drum brakes.  Are you sure the switch is bad?  Did you test it?  Did you check the bulbs and grounds?

Get the manual.

Hi all, I have recently returned to the British car scene with a 1967 Morris Minor 1000 2 dr. sedan. The previous owner said that the brakes needed adjustment. The pedal goes down about 1.5 inches from the floor and the car dose not stop very well. It also needs a new brake light switch because the brake lights are inoperative. The car recently had all new brakes installed. I wanted to adjust them first before I opened up the hydraulic system to install the new switch. I would like to know how to make these adjustments as I do not have a service manual yet. Thank you. Mark