During the 1st century, the Roman poet Martial addressed an epigram (or poem) to a lap dog named Issa owned by his friend Publius. The dog's name means "lady, mistress of the house" in Latin, a vulgar, assimilated form of the pronoun ipsa which often had a colloquial sense of "lady, mistress".
The name of several characters in Greek mythology, including a princess of the Greek island Issa (now called Lesbos), a nymph from the same island, and a pseudonym of Achilles when he was disguised as a woman on Skyros. It’s unclear if the island was named after the princess, or vice-versa.