Fatherhood (1915)

Arizona range rider Lon Gilchrist helps stagecoach passengers fight off attacking Apaches. After rescuing a baby and binding her bleeding forehead with his handkerchief, Lon receives a reward that allows him to buy a ranch. Many years later, the rescued child, Lizzie Mayberry, is a waitress in a cheap restaurant, where she meets Lon, who, now wealthy, courts and marries her. Because he is so busy, Lon has his friend Del Beasley look after her. After a misunderstanding, Lizzie has Del take her to the railway station. Thinking that they left together, Lon pursues them.

Unfortunately the movie Fatherhood is not yet available on HBO Max.