The font in the pic is studio sable. I'm looking for a similar substitute in a free font, not a commercial font.

Any help for me?

Maybe Engagement? A Google webfont, so free. And it depends on your definition of similar.

You can find similar font in this themes :
http://www.dafont.com/theme.php?cat=607&text=Sandy+Seafood+Grill&fpp=50&af=on
http://www.dafont.com/theme.php?cat=604&fpp=50&af=on&text=Sandy+Seafood+Grill

Perhaps that :
http://www.dafont.com/olivier.font?fpp=50&af=on&text=Sandy+Seafood+Grill
http://www.dafont.com/reklame-script-demo.font?fpp=50&af=on&text=Sandy+Seafood+Grill