Resources:

The Barnett Shale Energy Education Council
A non-profit group formed through contributions of energy companies to provide education to neighborhoods about the drilling process. A good starting point for a basic overview, including:
About Natural Gas
About Barnett Shale
Drilling
Leasing
Safety
Environment
City Ordinances
Arlington Ordinance (49 pg. PDF file)

Fort Worth Star Telegram Blog on Barnett Shale Activity
This blog was started to give citizens a forum to discuss opinions on gas well drilling in Fort Worth. Keep in mind that it is a public blog so not all information can be guaranteed accurate.

Information and Tips on Organizing Your Neighborhood
Neighborhoods Get Smart About Negotiating Gas Leases (PDF from local law firm)
Tips for Neighborhoods Negotiating Gas Leases (PDF from local law firm)
Tips on Organizing Your Neighborhood (from Star Telegram blog)
Groups sometimes able to get better deals on gas and oil leases (Word file)

Other Local Neighborhood Organizations
North Arlington Neighbors
360 Northwest Coalition
Dove Area Gas Group
Southwest Arlington Property Owners
Southeast Arlington Property Owners

Miscellaneous
Wikipedia: Barnett Shale
TheBarnettShale.com (Written by a local person involved in the drilling of the Barnett Shale for many years. Warning, turn down your speakers if you don't want to hear background music.)
Tarrant County Appraisal District Mineral Information
Minerals in a Residental Sale (Texas association of Realtors)
Natural Gas Daily Prices and Historical Trends
The Barnett Shale Lawsuit (A law firm seeking those who feel they have a case against an energy company who mislead them about the value of their mineral rights. Contains revelant info on mineral rights laws.)

Videos
Video - 3D Interactive Drilling Rig (Dale Resources)
Video - "Tour a Natural Gas Rig" (CNN)