I agree with a lot of what people have said -- there is good advice about chiseling away the old mortar, wetting the stone, and even using constructive adhesive to hold the stones in place and using grout to "(re)point" <
https://en.wikipedia.org/wiki/Repointing>. All that said, it would also be helpful to take some pictures of the damage so that we can see what we are dealing with. Sometimes there are details in the job that changes the advice. This reminds me of a story when one of my best friends was in grad school and...
One of the students in the lab asked, "I have my father's old farm truck, and I heard that it is a good idea to have all the fluids flushed every once in a while." Basically, all the car heads in the room said, "yea, it will help clean everything out inside and things will run more efficiently," and they interjected various details. Then one of them asked, how many miles does she have on her. The answer was, "I think it is just over 400,000 miles." Everyone in the room shouted at the same time: "DON'T TOUCH IT!!!" You see, the truck was made back in the 70's when a good run on an engine was between 100K to 200K before requiring a rebuild. If it had 400K, that means it has run at least 2x the max life expectancy, and you really do not want to do *anything* different to it than had been done to it over the last 30 to 50 years. At this point, half of what is holding the parts together are likely to be sludge and grime, and everything is worn together. Running the cleaners through the engine is probably going to do more harm than good. So keep up the unbelievable good work. Any vehicle that has lasted that long has had a good maintenance schedule. Now, a new vehicle (or an old vehicle with a new engine) will benefit from getting cleaned out every few years...
Anyway, back to my point about the wall... There could be details in the wall that will change the advice, but yea, any wall that has stood the weather and test of time for 75 years, is well enough built that you are likely only going to need to put the rocks back in the same place, and then repoint them (or clean up the joints).