Is it farther or further?
mid-15c., "sick bay in a monastery," from Medieval Latin infirmaria "a place for the infirm," from Latin infirmus "weak, frail," (see infirm). The common name for a public hospital in 18c. England.
infirmary in·fir·ma·ry (ĭn-fûr'mə-rē)
A place for the care of the infirm, sick, or injured, especially a small hospital or clinic in an institution or school.