I have a frame from an old Performance bike (I forget the model, and as I recall it is built with True Temper tubing. Does yours have a tubing label that you can get that info. It is likely that the tubing sticker will be a good indicator of the quality of the frame. Mine looks to be a pretty decent frame. I don't even recall where I got it at this pount...

If you are looking to be a fairly casual rider, then in my opinion there are a couple of things to look for to see if the frame is right for you. First, does it have good tire clearance? You may want to move to a wider tire, either now or in the future, and so the extra space would be nice. Additionally, overall quality (frame & components come into the mix, but there is some latitude there, as long as the components are reasonable.