Outreach Clinic (at the Hospital) Address: 100 W. 16th St., Eureka, KS 67045 Location: Enter at the South side of the Hospital near the flagpole Hours: Monday-Friday from 8 am to 5 pm | Closed weekends and holidays Phone: (620) 583-7451, Ext. 1043 Fax: (620) 583-6397.