That actually is the same thing I am repairing in this video. I should have called it like it is, repairing the re-ring is the same exact process. Get a good quality epoxy. WOOD GLUE WILL NOT HOLD VERY LONG. YOU HAVE TO CLEAN THE OLD RESIDUE OFF FIRST, AND IF YOU CAN'T DO THAT, IT WILL NOT HOLD, PERIOD, NO MATTER WHAT ANYONE TELLS YOU, IT WILL COME APART IN A SHORT PERIOD OF TIME. THE ONLY WAY TO CLEAN OLD HORSEHIDE GLUE IS TO USE WARM VINEGAR AND LET IT SOFTEN THE OLD GLUE, THEN REMOVE IT....big pain in the rear quarter. That is why I use Epoxy. It holds, no matter if the old glue is still there or not, (HOWEVER I DO SUGGEST SANDING AS MUCH AWAY AS POSSIBLE, TO GET RID OF "RIDGES") and unless the ring is completely out, you will not get the old stuff out of there enough to get a good grip. I have many years of restoring old wooden things under my belt, and the only way to get new wood glue to hold is to get the old out first, and that is extremely difficult to do. Make sure you use good clamps, any that will hold pressure for 30 minutes will work, if you use epoxy. Using wood glue you will have to put the drum up for at least 12 hours to cure, and if the wood has re-shaped itself from sitting like that for 6 months or more, it will be a big deal to get it to conform back to the original shape. That is one of the best reasons for using epoxy, it will hold the wood back almost no matter what, where the glue, unless really well adhered, will not hold up to that pressure. If you have woodwork that you have glued over and over again, and it keeps coming apart no matter how much glue you use, this is why. It was never properly cleaned (that dining table chair that the leg or back keeps coming apart???) in the first place.