Morgue capacity running low at some local hospitals grappling with COVID-19 admissions Officials at Tri-Health and the University of Cincinnati Medical Center said Tuesday they have begun to use cooling trailers as mobile morgues because morgue space is running low during the COVID-19 pandemic. and last updated 2021-01-26 20:19:47-05 Officials at Tri-Health and the University of Cincinnati Medical Center said Tuesday they have begun to use cooling trailers as mobile morgues because morgue space is running low during the COVID-19 pandemic. The need for the mobile morgues arose during the post-Thanksgiving COVID-19 spike that arrived in early December, and hospitals have kept them because morgue capacity has wavered between low and full ever since.