As a former Dutch Defense player myself... I have two words of advice for you.
1. Stop before you waste your life learning this line. There are TOO many traps (many undiscovered) that white can throw at you and you'll lose many-a-game to a well prepared white opponent.
2. If you insist on learning the Dutch, don't worry too much about the Staunton gambit. It's not a particularly great line, it's not overly ambitious. You'll rarely face it and if/when you do, just stick to the mainlines. You'll be fine.
I've recently started playing the Dutch Defense (1. d4 f5) as black. One of sidelines white can go into after 1. d4 f5 is the Staunton Gambit 2. e4 and then usually 2. ... fxe4 3. Nc3 Nf6 4. Bg5, and white usually gets his pawn back. In "Starting Out: The Dutch Defense" by Neil McDonald, he says that an alternate move order for those intending to play lines of the Dutch where they'd play e6 eventually is for black to play e6 before f5, thus avoiding some of the anti-Dutch sidelines, including this gambit.
So the obvious question: How exactly does this prevent the Staunton Gambit? I thought about this before and kind of had an idea in my head, but it actually came up today in a tournament game. I played a guy who had played the Staunton Gambit against me last time I answered his 1. d4 with f5, so I tried the e6 move order this time. The game started 1. d4 e6 2. c4 f5 3. e4 fxe4 4. Nc3 Nf6 5. Bg5 Bb4 6. f3, and I decided to go for development with O-O and let him have the pawn back at that point.
Is there a specific refutation I should know about when white plays this way?
--Fromper