S.B.
Dear J.,
If the table isn't already varnished, I would suggest doing that. A small can of it goes a long way and can be found anywhere paint is sold.
I found an old glass-top coffee table at a yard sale that was pretty scratched up and the wood was really dried out from being stored in a garage. I bought a varnish that had stain mixed in and you wouldn't believe what just one coat did for that table. No one could believe I only paid $5 for it.
The varnish just brushes on and once it's dry it won't be toxic. You might want to do a couple of coats on the table top so it can be wiped clean if there are any spills, etc. When you daughter is old enough to want to use her table for art projects or things like that, I would put a vinyl tablecloth on it to further protect it. That way you don't have to worry about crayon marks or scratches. You can just wipe the table cloth off and tuck it away for next time.
Kids just love having their own little tables and chairs. Put some varnish on it and it will stay beautiful for years.
Have fun!