I would not use Elmer's glue because it is tough, if not impossible to "un-do".  The gold standard for fossil stabilization is Butvar-76 (polyvinyl butyral), a powdered resin you dissolve in acetone and apply in low humidity environment.  You can mix it thin to penetrate deeply into the bone or a bit thicker to hold loose outer fragments together.  It is easily reversible by re-dissolving in acetone. Click here to see an excerpt from "Florida's Fossils" on the use of Butvar for fossil preservation.

There are other things out there that work: non-yellowing clear acrylic urethane, variations of model airplane cement, etc., but Butvar has excellent long-term stability and it's hard to be sure exactly what you are really getting in common hardware store items.

I will put out the word and do a little research and on where to get it.

Members of the Florida Paleontological Society used to be able to order Butvar-76 for $7.50 per pound (plus shipping), but I see that now they supply Vinac B-15 (polyvinyl acetate) instead for $7.00 per pound.  Worth looking into. Of course, you'd have to join the FPS for $15/year and it's all snail-mail.