I've never heard of the soap you're using. As others have said, try something else. I've found some local soap makers who sell "shaving soap" but it flat out sucks for wet shaving. Maybe if I just rubbed the puck on my wet face it would work well. The Bigelow/Proraso stuff is good. If you have a Rite Aid nearby they usually carry a brand called "The Real Shave Co". It is a cream and is $5-$6. Not stellar but it produces a good lather, quickly. The scent is also mild. I tend to use it for mixing with soaps that I like the smell of that just don't lather well. Other easily affordable options include the SRD and Mama Bear soaps. Great stuff, either way. They'll fill your bowl if that's what you want them to do. TOBS can also be found on Amazon for around $12 a tub from time to time. The VDH soap, while nothing amazing is only $3 a puck and works halfway decently.
Personally, I'd rather spend the extra few bucks for something better but if you combine it with your soap it may work wonderfully.

If you want to fill your bowl with lather you can, but you'll waste a lot of it. If it dries out on your face you can also wet your face first.
I've got a pretty spartan routine that I enjoy-
Soak Brush for 5 minutes in cold water.
Shake it once or twice then rub my face lightly with the wet brush.
With my TOBS, I swirl it 4 times in the tub and start making lather. I usually add 5-6 drops of water to it as the lather forms up.
For soaps each one is different but I load it up until I like how it looks. Add water to lather bowl if needed. If you have too much soap it will dry out too quickly so mess around making lather and not shaving with it.
Then I lather up for a minute or so and really scrub it in
Strop. 30 on Webbing, 50ish on leather.
Shave. If my lather is starting to dry I add a few drops to the bowl, mix them in and paint my face again.