Well made violins are all made with hide glue.
The first synthetic glue I know of was cyanoacrylate, which was developed during the Korean War as a quick alternative for stitches during surgery. It didn't start getting used for industrial an eventually woodworking purposes for quite a while. My guess is that it was probably during the 1960's "space race."
The first man made glue to become popular for woodworking was Franklin's Tightbond, which is a aliphatic resin glue. Tightbond came out in the late `50's. All yellow wood glues are of this type, and in most situations it is still very good. Tightbond or similar is usually the best choice for woodworking, as it has very good strength, a fairly long working time (you've got about 5-8 minutes to get all your clamps in place), is chemically pretty neutral, so it isn't at all dangerous to work with, and it isn't exothermic. Shelf life is less than a year. It can be taken apart with heat and/or moisture, but you need to completely clean the joint if you are going to reglue it. Clean up is easy, and can be accomplished either before it drys, or after.
Hide glue is gelatin. Basically, it's jello without the sugar and the coloring. There are some other technical differences, defined as the "gram strength," but in a pinch (and if you are REALLY quick with your clamps) you can use any flavorless commercial food grade gelatin as hide glue (Knox and the like). Food grade gelatin is actually a higher gram strength than you use for most woodworking, but it comes in a large range of strengths. Hide glue comes dry, and to use it you mix it with water and heat it up to around 150 degrees Fahrenheit. If it gets too hot, it will weaken, so controlling your heat is critical. Most people use some form of a electrically controlled glue pot. The strength is very dependent on both the gram strength of the glue, and the proper ratio of flakes to water (which, sadly, isn't consistent from batch to batch. Fortunately, when dry it will last your lifetime, so if you are using a lot of it, you can just buy a big bag of it and it should all require the same ratio). Once mixed, it has a shelf life of a couple weeks, maybe a month. Working time is the big drawback for most people, because unless you heat your work pieces you have less than a minute to get all your clamps in place. It isn't exothermic, and has very good dry heat resistance. It is also completely reversible with hot water, and can be reactivated by heat and water; so if you need to reglue a joint, you don't need to clean it out - just add a bit more hot hide glue, and clamp. Done properly, a remade hide glue joint will maintain 100% of its strength. No other glue will retain ANY of its strength. Clean up is very similar to Tightbond. The reversibility and the tone is why violin makers still use it, along with a growing number of guitar builders. Hide glue, in a tight fitting joint, drys much harder than any other glue on the market, and so the theory is that it transfers sound better than other glues. At the very least, it seems to make instruments sound better, but there is not way to determine this conclusively. For most things that I do, it is my favorite glue.
Gabriel