Check out Rockler's wood working shop or Woodcraft stores. They have just what you need. I'd be real carful with an actual hypodermic needle as the glue is likely to set while still in the needle. Use a lager gauge needle like those used in woodworking.
You could also use superglue or CA glue and allow it to gravity feed into the crack, though finish might be a problem.
BTW: "The only dumb question is the one you DON'T ask."