Chris, I've got the Smith Little Torch, which I use with an oxycon.
Even with the optional rosebud tip attached, it's not big enough for silver-soldering what I would class as medium to large projects. That's why I have a bigger oxy-propane rig-out and also the propane-only Sievert with a range of burners, of which the 7.7KW one is currently my third biggest.
Basically you need the right torch with the right burner turned up to the right setting for each job; depending on the range of work you do, that might mean having a range of torches, burner sizes and even fuelling systems.
You don't say how big the two pieces of brass are that you were trying to join, but it's quite likely your two mini torches weren't getting enough heat into enough of the work fast enough. I'm assuming the joint characteristics, including fluxing and cleanliness, were good, as was your way of directing what heat you had at your disposal on to the work.
I I were you I'd snap Noel's generous hand off, and be hesitant at this stage about buying the all-in-one kit you linked to; you may well find yourself starved of oxygen breathtakingly quickly.