Coolant Reservoir?

Yes, those are the areas that I checked. I removed the coolant reservoir and inspected it for leaks, no leaks. So I put it back on, filled it up, started the car, and I feel, what feels like a mist coming off the belt that winds around the front of the motor. So I got down on my knees and looked underneath, and water is dripping in several places, but pouring down the back of the motor onto the ground about 3-6" from the left side (passenger side) of the motor, like a sive. I am pretty sure what I am seeing is the water that is coming from the water pump. I am right? Or what else can I do to make sure it is the water pump before buying one?
Thank you so much for taking the time to answer my question.
Sincerely, Gary Tonissen

Here is what I find. I feel a mist coming off the belt where the water pump is located, it is really fine. The on the firewall side of the motor, I see, water dripping all across the bottom side of the motor, and, a steady stream about half the size of a pencil coming off the back side of the motor, firewall side, about 4-6 inches in from the passenger side. Other than that, car starts fine, and heater works great too. Thanks for any help you can be.
Gary Tonissen