Hi Gerb Lady...Pretty sure the photo on the Fairview Cemetery is incorrect, or the town of Litchfield got a two-fer bargain on the signs.
Litchfield Cemetery is
Latitude 41.1544538
Longitude -99.1287022
and the town of Litchfield is about 1.4 mi. West of the Cemetery
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Gray Cemetery AKA:Fairview Cemetery is
Latitude 41.2100089
Longitude -99.1570368
and the town of Litchfield is about 3.6 mi. South of the cemetery.
Info source: Nebraska Historical Cemetery Records, 1994...
and confirmed by a nifty beta site called 'Histopolis':
http://test.histopolis.com/Place/US/NE/Sherman_County/Gray_Cemetery