One of the oldest written myths was the story of Inana who goes back to Sumerian times 4000B.C.E. In Inana in the Underworld . She descends to her sister Ereshkigal''s realm and tries to take over. She is killed by the eyes of the dead but in some versions she tried to physically pull Eriskigal from her throne, which qualifies as a catfight in my imagination, at least. Having killed her Eriskiga0e impales her on an iron hu. k on the wall. After three days Inana is then ransomed and revived. In another legend Bilulu kills Inana's consort Tammuz and Inana avenges him by killing Bilulu. I'm not sure how but in my fevered imagination of course it would have been by catfight..
It is also pretty well established that there were gladiatrixes who fough in the Arena.
It is thought tat when disputes could be settle by trials of combat.some women foght ther husbands' to the death, (Only way to get a Divorce) and presumably fought each other to settle disputes.
Shakespeare has catfights inat least two intances in Taming of the Shrew and Midsummer's Night Dream.
There was a catfight in Ariosto's Orlando Furiosa, Spenser's The Faerie Queen based on Orlando describes a really good fight between the heroine Britomart and another evil female.
In an old law record of Albany, NY, I was told that there is a reference to two women being fined for brawling in the street.
In a book about of nostalgia about NYC in the 19the century, it states that ther was a ceertain barroom that featured regularly staged fights between women.
That's all I can think of, off the top of my head.