How did the acquire their name according to this greek myth

Hold on.

Explanation:

Who acquired what name. The people of Greece? Or the country, Greece. Their names usually consisted of one name. These names came from the type of family people were born into and where they were born.

the last one: artificial selection/genetic engineering

plant breeding is modifying the genetic composition of the plant - but this isn't cloning (which is specifically introducing a gene into a genome). but you are artificially selecting for the phenotype that you want.

the second one is literally genetic engineering - the gene would have been cloned first and then inserted or genetically engineered into the new plant cell (the cotton).