The phrase "namesake city" refers to a city that is named after someone or something. It means that the city's name is derived from or inspired by another name or entity. Full definition
A few days before this issue closed I traveled to the Cleveland Clinic, in its namesake city by the lake. (fortune.com)
From its namesake city website we quote: «Snagging a bag of roasted Pueblo chilies from your freezer is like getting a grab bag from a church festival — you don't know what each Ziploc holds. (pepperjoe.com)
The state, and its namesake city, seem to produce more than their share of men who abuse their political power, whether for financial gain, career advancement, or the mistreatment of women. (newrepublic.com)