Do you mean the wood has broken? or that a glued joint has become un glued? If the wood has broken it will take a very expert repair...scarf joint and the whole 9 yards....but if it's just a glued joint the repair will be easier. I second the recommendation of a cabinet maker or a furniture restorer. Linda C...looking warily at my double pedestal Duncan Phyfe dining room table...very heavy...

A long time ago, when I was young, we paid for furniture with a check (idiotic). The company closed its doors, but still had a phone number, with an answering machine. I made it a mission to get that money back. They never called, rarely did I get a person on the phone, and when I did, it was a young lady who whispered to me that they were behind on her paychecks, too. This was before Yelp, so what I did, was look up the names of the officers, and investigate to find out the names of the PEOPLE running the company. And then I called the district attorney to file a complaint. Now, it is no guarantee that the district attorney will actually do anything, however, my voicemails (and nowadays you have emails), were pointedly assuring them that their names were in the hands of the D.A., and I intended to pursue their criminal fraud to the furthest extent of the law. Lo and behold, I received a check in the mail that actually had sufficient funds to deposit it. As long as they still have a phone, and an email address you can still reach them. It's worth a try.

You would tape something that large with drywall tape, and get some premixed drywall mud and put it on there smoothly. Once dry, light sand, and do coat 2. Same as before, and then put on coat 3. Primer it and paint it when you have it nice and smooth.

It looks like the stucco is coming off the brick. I would use a putty knife or chisel and try to remove the rest of it and then see what kind of shape the brick is in.