I have a small carport area that I want to enclose ( merely a mud room area so there is a place to put coats, boots and the such without going right into my wonderful floors in the house.

On the one side, "drive way" I know how to either drill or shoot nails into concrete so no issues putting a wall up there.
But on the one side, there is wood at the top with studs to secure to, but the right is a brick wall and the left is a brick column. I have no idea how to secure my wall to the brick. ( on the wall side there has to be wood studs somewhere behind the brick, but I don't know what or how the column is made.

Is there a way to secure a stud wall to brick.
A link with photos or instuctions would be nice.

You'll wreck the brick wall. Why not try to make a wooden frame OVER the brick wall instead of trying to attach to the brick itself.

What material is the carport being made of?

Trying to decide, car port is there already, just making two walls inside of it.

You can nail into brick with cut nails or shoot with power hammer. Try to avoid nailing close to edge of brick. You can drill, insert anchors and screws. Show us a picture of where this wall would go.

Harolds idea would work. Personally I'd drill into the brick and install a pressure treated ledger board held with expanding metal anchors. Google Image Result for http://www.confast.com/images2/products/main/sleeve-anchor-hex.jpg

Since the car port is already there these wals will not be load bearing. However, I was not aware of the GA code.

Merely filling in already partial wall ( it comes up 2 foot from floor and comes down two foot from ceiling already.

Thank you for the help,

I think you weill be fine with Harold's or my ideas. If I have this pictured right in my minds eye you will not be applying any load to the brick wall, if it even a veneer to begin with. Your weight, little as it will be will be carried by the 2' wall already in place. You will likely need a permit to stay within the law, and to notify the assessor to raise your assessment. In my neck of the woods that what a permit does many times, just tells the assessor to take another look.

Be sure local code allows for enclosing the space without a permit. Where I live you would need a permit to enclose a carport but other places may not.