When is the word hospice capitalized?

The Word is capitalised only if it forms part of the name of a specific hospice:

'When my father became very ill, he asked to be taken to the local hospice.'

'My father died in Greenacres Hospice in Horsfield.'

In this respect, it is like any other Word for a type of building or institution: house, hospital, college, university, clinic, home, infirmary ...