Oh noooo!
We're nbrs so had a look at your kingdom.. you'll need more chickens, MANY chickens, 20/30 to be lucky to find golden eggs. Their collection time is half hour and they're rare so you have to insist. 4/5 chickens no good.
Other places where they drop I don't see, but maybe you'd have something stored.
(from the Hub)
Found: hatchery, chickens, Glimmeregg Bunny, Fireworks Griffin, Golden Mine, Griffin Roost, Royal Griffin, Parrot, Griffina (Baron's tent), Leprechaun Faerie, Celestine Faerie, Faerie Griffin, Golden Peacock, Ugly Goose, swan, black swan, swanson, Aetas, Spring chick
Hope this helps and Good Luck!