The above was probably done with hide glue as well, pretty good stuff as centauries of use have proven.
Here is another of my glue fixes; my string came off one nock and split the other deeply into the limb at least 6". The bow sat in my junk pile for years then on a whim I decided to try to fix it.
I have shot this bow thousands of time since, no problems.
Just repaired, and years down the road;