I have a condi and a long tentacle anenome... Dunno what the eggs were, unless they were some kind of food the anenome had eaten; they regurgitate what they don't digest.
My anenomes fold up every couple days or so, I think it might be to eat things from tentacles, but if they are folded up for days at a time, it's not a good thing; you might have to improve water quality / lighting / water flow, anenomes love flowing water. If you want to try to feed it, I use either frozen food, or get a 10 cent feeder goldfish, kill it, and either feed it to anenome whole or cut it in half so that your anenome can swallow it whole. Good luck!
(my first anenome was a Condi last year, I lost it a few months later due to high nitrates; now I have low nitrates and they are flourishing)