mid-13c., "box or chest used for keeping valuables," from Old French cofre "a chest" (12c., Modern French coffre), from Latin cophinus "basket" (see coffin). Hence coffers, in a figurative sense, "a treasury; the wealth and pecuniary resources of a person, institution, etc.," late 14c.
mid-13c., "shelter for the needy," from Old French hospital, ospital "hostel, shelter, lodging" (Modern French hôpital), from Late Latin hospitale "guest-house, inn," noun use of neuter of Latin adjective hospitalis "of a guest or host" (as a noun, "a guest; the duties of hospitality"), from hospes (genitive hospitis) "guest; host;" see host (n.1).
The sense of "charitable institution to house and maintain the needy" in English is from early 15c.; the meaning "institution for sick or wounded people" is recorded by 1540s. The same word, contracted, is hostel and hotel. The sense shift in Latin from duties to buildings might have been via the common term cubiculum hospitalis "guest-chamber." The Latin adjective use continued in Old French, where ospital also could mean "hospitable" and ospitalite could mean "hospital."
also coed, 1886, American English, (first in Louisa Mae Alcott's "Jo's Boys"); short for "co-educational system;" 1889 as an adjective, short for co-educational; 1887 as a noun meaning "girl or woman student at a co-educational institution."
late 14c., "organized association of persons invested with certain powers and rights or engaged in some common duty or pursuit," especially "body of scholars and students within an endowed institution of learning," also "resident body of ecclesiastics supported by an endowment," from Old French college "collegiate body" (14c.) and directly from Latin collegium "community, society, guild," literally "association of collegae," plural of collega "partner in office," from assimilated form of com "with, together" (see com-) + leg-, stem of legare "to choose," from PIE root *leg- (1) "to collect, gather."
At first, any corporate group (the general sense is preserved in U.S. electoral college, the Vatican's college of cardinals, etc.). In the academic sense, colleges operated within universities (as still at Oxford and Cambridge), but in Scotland, and later in U.S. and Canada some universities had only one college, and there college came to be used for "incorporated and endowed institution of learning of the highest grade," and eventually "any degree-giving educational institution" (c. 1800). College-widow is attested by 1878.