Earlier quoted context omitted.
Brave was started after Eich was pressured out of the Mozilla foundation for financially supporting anti-gay initiatives. He called his company 'Brave' because he felt he was being brave for using his money to attack a minority group.
Had to look it up, it looks like he put $1000 towards California's Proposition 8 (to un-legalize same-sex marriage). In March 2014, he was named as Mozilla's new CEO, but resigned 9 days later under fire. https://www.cnet.com/news/mystery-startup-from-ex-mozilla-ce... Can't find anything on the origin of the company name, I assume that's just hyperbole.
Brave is named for its users, who have to stand up to the surveillance status quo, sometimes at a price in lowing their shields or otherwise tangling with anti-ad-blockers.