In Kedushin 31b, there is a story about Rav Assi and his mother. When his mother got old, she asked Rav Assi to find her a “husband that looks handsome like you”.
Rav Assi left her in Bavel and went to E”Y. When Rav Assi heard that his mother was also coming to E”Y, he asked if he could leave E”Y and go to Bavel.