'Williams County' definitions:

Williams -- U.S. County in Ohio

From: Gazetteer 2000
Name :
Williams -- U.S. County in Ohio
Population (2000) :
39188
Housing Units (2000) :
16140
Land area (2000) :
421.739879 sq. miles (1092.301225 sq. km)
Water area (2000) :
1.313012 sq. miles (3.400685 sq. km)
Total area (2000) :
423.052891 sq. miles (1095.701910 sq. km)
Located within :
Ohio (OH), FIPS 39
Location :
41.546482 N, 84.584044 W

Williams -- U.S. County in North Dakota

From: Gazetteer 2000
Name :
Williams -- U.S. County in North Dakota
Population (2000) :
19761
Housing Units (2000) :
9680
Land area (2000) :
2070.457464 sq. miles (5362.459986 sq. km)
Water area (2000) :
77.512554 sq. miles (200.756586 sq. km)
Total area (2000) :
2147.970018 sq. miles (5563.216572 sq. km)
Located within :
North Dakota (ND), FIPS 38
Location :
48.337620 N, 103.496480 W