

https://en.wikipedia.org/wiki/Trinity_Hall,_Cambridge
Trinity Hall is a constituent college of the University of Cambridge, England. It is situated on the River Cam, nested between Clare College and Trinity College. It is the fifth-oldest college of the university, having been founded in 1350 by William Bateman, Bishop of Norwich. The college is often known informally as 'Tit Hall' by students within the university.
The devastation caused by the Black Death plague of the 1340s caused the loss of nearly half of the English population; Bishop Bateman himself lost nearly 700 of his parish priests, and so his decision to found a college was probably centred on a need to rebuild the priesthood. Thus in the foundation of 1350, Bateman stated that the college's aim was "the promotion of divine worship and of canon and civil science and direction of the commonwealth and especially of our church and diocese of Norwich." This led the college to be particularly strong in legal studies, a tradition that has continued over the centuries.[3]
At first all colleges in Cambridge were known as Halls or Houses (e.g., Pembroke College was called Pembroke Hall) and then later changed their names from Hall to College. However, when Henry VIII founded Trinity College, Cambridge next door, it became clear that Trinity Hall would continue being known as a Hall. This is also why it is incorrect to call it Trinity Hall College, although Trinity Hall college (lower case) is, strictly speaking, accurate. Interestingly a similar situation existed once before in the history of the University, when Henry VI founded King's College (in 1441) despite the existence of King's Hall (founded in 1317). King's Hall was later incorporated in the foundation of Trinity College in 1546.