Starting Strength is a program that will work for almost anyone, given that they add the correct amount of weight. This is talked about in the book in detail starting on page 297.
Also, try not to focus on the scale when you first start training. You will gain muscle mass, which means your weight will likely increase. You should focus more on body fat percentage, which is a better indicator of the kind of weight you're putting on. I like this site because there are several different caliper methods and a calculation based on tape measurements.