DC Dux: Uh, actually, that's incorrect. They are absolutely the same organization:
Off the NRA website on anti-gun organizations:
"In 2001, Handgun Control, Inc. changed its name to Brady Campaign to Prevent Gun Violence. The organization originated (1974) as the National Council to Control Handguns (NCCH), a group which lobbied for government restrictions on the right to keep and bear arms through support for restrictions on the manufacture, importation, sale, transfer, and civilian possession of handguns. The organization voiced a desire for an eventual handgun ban through gradual steps, but changed its name and espoused goals due to results of a survey. In 1991, then HCI amended its Articles of Incorporation to reflect its support of restrictions on rifles and shotguns as well."
http://nraila.org/Issues/factsheets/read.aspx?ID=14
Same organization, different names for different political climates. And Peter Shields founded the organization that eventually became the brady campaign, so he has everything to do with them. (see above).
Edit: I am aware that there are a lot of bogus quotes attributed to Sarah Brady and her organization and I have not posted them. What I have posted, however, is accurate.
Re-Edit: Oops, hang on, while I check the committee thing.