I've done a fair bit of hammering ingots out from jewelry metals and brass has some similarities.
Begin the process by annealing the brass. You want it dead soft. People can tell you temperatures and time to hold before letting air cool, but it is best to get a feel for it. Get some strips of brass such as that K&S stuff that you can find in hobby shops and some hardware stores. Heat one to what you see as a dull red preferrably in a reducing atmosphere and then let air cool. Heat another one just a little brighter red. Etc. When cooled, bend each in your hand. That will give you an idea of how soft you might want it.
To see the color of the metal best when heating, dim the lights.
You want the area you are going to be hammering to be dead soft. Ideally you'd like the rest of the trigger guard to stay pretty hard! So just apply the heat to the region you want to soften.
When hammering, I'd recommend using a hammer that weighs less than a pound, and at least 100 grams. You probably should use a cross-peen hammer. Make sure the bladed side is smooth without sharp edges. Actually, make sure both sides are smooth that way.
Use the cross-peen side to stretch the metal. The metal will want to extend in the direction perpendicular to the line of the hammer. So walk a series of light hits in the direction you want to go. Do not hit it hard! Have patience. Light taps will get it done. Whacks will get it destroyed.
Use the flatter side to dress up the surface so you have less filing to do.
If the metal gets hard enough that it is getting bouncy, before you get the metal moved far enough, then you'll have to anneal again. Otherwise you risk cracking the metal.
It is best to work one side of the metal a little bit, flip it, and work the other.
Of course ideally you'd like the brass to end up at least somewhat work hardened by the time you are done. So if you need to move the metal a lot, you might consider timing your annealing so you still have a little hammering to do after the last anneal.
Gerald