Help! No glue seems to be working!

I'm trying to make some Christmas ornaments to sell in a local shop that sells some handmade items (I'm friends with the owners) and I'm attempting to glue: seaglass directly to seaglass, seaglass directly to wood + seaglass and string to seaglass and nothing is working right!

I've tried two different gorilla glues, a crazy glue (not pictured as it was a tiny disposable bottle) and Lepage extreme glue. The Lepage glue works well for gluing glass to a canvas but not for things that are handled like ornaments. I want them to be sturdy so that customers can handle them without them breaking.

All the glues flow too much and spread past where I want it to go which makes a mess that takes a lot of effort to clean up, usually involving a scalpel.

Some of the glues dry kinda gummy and flexible and can peel off of the glass and the more liquid crazy glues always create a weird residue that looks like a milky substance dried on the glass or vapors or something.

Anyone have suggestions? It's driving me nuts!

Thanks!