Hi Suzy and welcome to the forum. A couple of possible glues, first up would be a two part epoxy such as Araldite. Use the original slow setting one not the rapid type or the crystal type as they are not as waterproof.
Another possible popular choice would be Stabilit Express, which is a little on the expensive side but is a very strong glue capable of bonding different materials.
Then, of course, there is the specific ABS glues, such as MEK, (Something like Methyl Ethyl Ketone). This comes in either a cement form or a very thin watery solvent form. These have the advantage of dissolving the surface of the material and creating a very strong bond. There is a danger though, when the material gets very thin that the glue can dissolve the material so much it softens right the way through and creates a deformed finished joint. The solvent type is not good with wood as it soaks right in and leaves nothing at the surface to bond. The cement type is a much better bet for cementing ABS to wood.
Everyone has their preferences but, if it was me, I would probably go for Araldite.