Have you tried the city & county records offices? Also, the museum?
I go by the hotel often..almost daily. At least I did until I broke my ankle...been trying to get to a cemetery or two... haven't been able to yet...either raining, muddy or leg is just too swollen from house & yardwork (which I shouldn't be doing a lot of).
I have only lived in Littlefield for about 5 years, so don't have a lot on the history of the area.
Here is a link to the museumhttp://www.littlefieldmuseum.com/