The Collaborative International Dictionary of English v.0.48:

Minster \Min"ster\, n. [AS. mynster, fr. L. monasterium. See
   Monastery.] (Arch.)
   A church of a monastery. The name is often retained and
   applied to the church after the monastery has ceased to exist
   (as Beverly Minster, Southwell Minster, etc.), and is also
   improperly used for any large church.
   [1913 Webster]

   Minster house, the official house in which the canons of a
      cathedral live in common or in rotation. --Shipley.
      [1913 Webster]

WordNet (r) 3.0 (2006):

minster
    n 1: any of certain cathedrals and large churches; originally
         connected to a monastery

U.S. Gazetteer Places (2000):

Minster, OH -- U.S. village in Ohio
   Population (2000):    2794
   Housing Units (2000): 1033
   Land area (2000):     1.877624 sq. miles (4.863024 sq. km)
   Water area (2000):    0.000000 sq. miles (0.000000 sq. km)
   Total area (2000):    1.877624 sq. miles (4.863024 sq. km)
   FIPS code:            50918
   Located within:       Ohio (OH), FIPS 39
   Location:             40.393706 N, 84.378266 W
   ZIP Codes (1990):     45865
   Note: some ZIP codes may be omitted esp. for suburbs.
   Headwords:
    Minster, OH
    Minster