There are a couple of things you can do to interpret data from the game. First, you can use CheatEngine which is mostly the choice of Flash game hackers. The following links will help you get started:
How to hack flash games with cheat engine 5.5
How to Cheat and Hack Flash based Games
The above method will not work for server based games like the ones hosted on Facebook. So, your second choice is capturing the network traffic and see what you can gather to attain the required information. For capturing the network from C#, you can use Pcap.NET. But before you try to do it programmatically, you should try it doing using Fiddler, which gathers plethora of information for you whenever you surf a website or when a plugin like Flash makes use of web.
Get Fiddler and GL !