What does "leave one's hometown" mean?

"Leaving Home" comes from the drama "Autumn in the Han Palace" written by Ma Zhiyuan, a master of Yuan opera (see the first volume of "Selected Yuan Operas" compiled by Jin Shu in the Ming Dynasty). This play tells the story of Wang Zhaojun's expedition to the fortress. There is a line in the song "Chuan Bo Chu" in the third chapter of the play: "Leaving home, sleeping in the snow and sleeping in the frost." This refers to Wang Zhaojun leaving the Han Dynasty to marry the Huns, which changed his living environment. The third chapter of the second book of "The Romance of the West Chamber" written by Wang Shifu, a dramatist of the Yuan Dynasty (see the first volume of "Selected Songs of the Yuan Dynasty" by Sui Shusen), contains the sentence: "It is pitiful that the ambition is hanging on the beam, and I am in danger of leaving my hometown and leaving my soul behind." Here it is said that Zhang Sheng asked the matchmaker to send a letter to Miss Yingying, swearing to commit suicide, which meant that his soul would stay in a foreign land after death. Later, "leaving one's hometown" became a commonly used idiom, which generally refers to leaving one's hometown to go to another place.