Where in the world are you? Since Buffalo grass is fairly easily controlled with simple cultivation methods, and is fairly easily replaced by other more aggressive grasses it probably is not really what you have. Have you asked at your local Cooperative Extension Service office what you might have?

No, I haven't. I guess that is my next step!! Thank you!!

You might have torpedograss. If so, moving might be easier than getting rid of it.

Buffalo grass - at least the turf kind - has fine soft leaves.