If is is a Moen faucet, and I suspect it is, you will need to replace or at least lubricate the cartridge. With the water pump off, remove the handle to expose the cartridge cover. It will be a chrome tube surrounding the cartridge itself. Grasp this with your hand and pull straight out on it to remove it. It is a press fit. You have now exposed the cartridge housing and retaining clip. The clip is located at the end of the stem housing closest to the handle. It is a "u" shaped clip with a small tab with a hole in it that points up. Using a screw driver or needle nose pliers, push up on the clip or pull up with the needle nose pliers to remove it. Now comes the fun part. The cartridge itself is a push fit into the stem housing. Grasp the end of the cartridge with a pair or pliers and pull it straight out of the stem housing. It is best to grasp the stem at the same place that the handle would attach and it can be a tight fit. Take the cartridge to your plumbing supply or hardware store and match it up. Moen made two or three different variations of that cartridge and you want to be sure you match it up. If you remove the handle and none of this seems familiar, you can ignore this post entirely.
1964 Overlander/2000 f250 Crew Cab 4X4 PS WBCCI# 5600