Harro10
Contributor
Could it have been "La Antigua"? The restaurant was on Avenida 5 between 3 and 5. You walked in and could eat in a front room or walk through to eat in a nice lawn area in the back. It had limited but excellent food prepared by a very personable woman/owner/chef. If I remember correctly it changed it's hours of operation a couple of times in it's short history.
LA ANTIGUA, Cozumel - Restaurant Reviews, Photos & Phone Number - Tripadvisor
LA ANTIGUA, Cozumel - Restaurant Reviews, Photos & Phone Number - Tripadvisor