Not all cities have their own organic menu of departments that provide services to their citizens. There are school districts, fire districts, water districts, etc.
See this
Cornonavirus Tips and Tidbits posting that I did recently for the Washington State Municipal Research Services Center (MRSC).
I suggest you use these to start the conversation with other governments and organizations that provide services to your city or county.
Eric Holdeman is a contributing writer for Emergency Management magazine and is the former director of the King County, Wash., Office of Emergency Management.