I am new to the figs a friend gave me one and told me if I go to this site yall might be able to help me yesterday  a lady gave me come cutting she called them Texas sweet fig what is a Texas sweet fig

Welcome to the forum.  I don't know about Texas sweet fig, probably a Celeste which is sometimes called a Sugar fig.

There isn't a fig by that name.  It could be anything especially if she don't know anything about figs.  The highest possibilities are Celeste, Brown Turkey, Texas Everbearing and Texas Blue Giant.  But it could be many others.  Those I listed are very common in Texas.  If you want to see a list of some other figs, you should go to our administrator's fig variety database and search around:  http://figs4fun.com/Varieties.html