When determining the country of origin of a cigar, there are three factors: Where the cigar was made, where the tobacco was grown, and where the seeds are from. For instance, a cigar can be made in the Dominican Republic with tobacco that was grown in Ecuador from seeds that originated in Cameroon. Normally, the cigar is only named by the country of origin where the cigar was made. A Dominican cigar may be made in the Dominican Republic, but have a host of different tobaccos in it, as it may have a Cameroon wrapper that came from Cameroon seeds that were grown in Ecuador and then shipped to the Dominican Republic to be made into a cigar.
To sum it up, a cigar is only labeled with a specific country if the cigar was made in that country, regardless of the country of origin of the seeds and tobacco. It used to be that where a cigar was made dictated the quality, but today the cigar industry is so competitive that it's hard to determine where a cigar was made just by looking at it (or smoking it). Don't let a country of origin dictate your purchase. Cigars are made with a higher quality now than they have ever been, and you are sure to find a high quality cigar, no matter where it comes from.