Your engine hesitation when stepping on the gas can be caused by a couple of things.

One would be the distributor advance not working properly.

The other might be the accelerator pump circuit.

• The Carter B&B uses a leather cup on the accelerator pump. Be sure it didn’t dry out and curl up.
• With the engine off look down the carburetor bore. Pump the gas. You should see a good stream of gas come out of the main discharge.
• No squirt? Something is plugged.
• The main discharge can get plugged up because they seldom get cleaned. Look for the aluminum plug on the side of the carburetor just below where the top and main body meet. With the top off look down at the main discharge. Remove the plug and take the main discharge jet out. The jet comes out with a screw driver and they break easily, so if it doesn’t come out easily, then leave it in and clean it thoroughly. From there clean and blow out all of the passages.

• Some of the B&B have an intake check ball on the bottom of the fuel bowl. Take the plug out and make sure the check ball is clean and loose. Also can you blow air through to the pump well? This is how the fuel gets into the pump well.