But then what if they weren't Baptised for one reason or another, you kind of have nothing to go on.
Catholic parents tended to baptise their children as soon after birth as possible. A bigger problem is that not all records survive and of those that do not all are online.
The baptism you have shows Barna as a name for the Parish. There is, apparently, a Barda in Azerbaijan. It sounds as though you, or someone you've copied information from, might have selected the birthplace from a drop down menu without looking too closely.