A chicken coop is a useful building to have on your farm in Farmville. Chicken coops allow you to store chickens together and harvest eggs from all the chickens within the coop with just one click. Unfortunately, each coop initially holds only 20 chickens, and only one coop is allowed per farm. In order to get your coop to hold more chickens, you'll have to expand it --- and you'll need the help of your neighbors to do it. Each coop can be expanded up to four times.
Instructions:
1) Click on your chicken coop and choose "Expand Storage" from your list of options.
2) Find your chicken coop on the list of expandable storage buildings on your farm.
3) Choose whether to buy the expansion with your Farm Cash or to enlist the help of your neighbors to expand for free.
4) Click "Buy" if you wish to pay with 10 Farm Cash. When the confirmation window opens up, click "Accept" to pay Farm Cash. The coop will expand instantly if you choose this method.
5) Click "Expand" if you wish to expand the coop for free with the help of your neighbors. Click "Share" on the next window that opens. This will allow Farmville to add a post to your neighbor's newsfeeds asking them to click on the post to help you with your expansion. You will need 10 friends to click on the post within a three-day time period for the expansion to work. Each friend can click only once per day. Once 10 friends have clicked on the post, your coop will expand.
Source: eHow