This hotel stood just down the road from the previous post, as indicated by the Lincolnway address. This road is also known as US Highway 30.
The description states:
When you visit Cheyenne, the Home of FRONTIER DAYS, be sure to stop at Cheyenne’s Newest and Finest HOME RANCH MOTEL, on East Lincolnway (Hi-way 30). Ultra-modern inits with wall to wall carpeting, T.V., Tile Baths and Thermostatic Temperature control. You will receive a cordial welcome by Mr. and Mrs. M. W. (Bill) Shepherd, Owners and Operators.
–This establishment existed in this general form and with this name until a few years ago, but is now closed. The postcard likely dates to the 1950s.