No. That is up near the airport. it is a very good restaurant but the one I am thinking of is just south of River Walk and the Alamo. I am still trying to find it again. I only went there once four years ago but I do remember the food was out of this world.
Then you're golden. There is a steak house that is fantastic but very expensive down the street from the Alamo but I can't remember the name at the moment. I will look at the map and see if I can find it for you.
I wish I could help you but I have no idea. The only times I bought food at River Walk it was from the sidewalk vendors and once at Starbucks (the lady I was with craved their coffee. What can I say?)
There are a couple of good restaurants here that I could recommend but they are far from...