Definition of "hall"

We tiptoed into the house, up the stairs and along the hall into the room where the Professor had been spending so much of his time.

1913, Joseph C. Lincoln, chapter 13, in Mr. Pratt's Patients

But Kate, the prettiest Kate in Christendome, Kate of Kate-hall.

c. 1590–1592 (date written), William Shakespeare, “The Taming of the Shrew”, in Mr. William Shakespeares Comedies, Histories, & Tragedies […] (First Folio), London: […] Isaac Iaggard, and Ed[ward] Blount, published 1623, [Act II, scene i]

Then cry, a hall, a hall! Come, father Rosin, with your fiddle now.

1633 (first performance), Ben Jonson, “A Tale of a Tub. A Comedy […]”, in The Works of Ben Jonson, […] (Third Folio), London: […] Thomas Hodgkin, for H[enry] Herringman, E. Brewster, T. Bassett, R[ichard] Chiswell, M. Wotton, G. Conyers, published 1692, (please specify the act number in uppercase Roman numerals, and the scene number in lowercase Roman numerals)