Among the list of Luxembourger settlements on the Institut grand ducal's website is that of Juniata, Nebraska. A mixed settlement of Luxembourgers and Germans, the area expanded rapidly during the 1870s and 80s. Luxembourger roots remained rather shallow in the area and are mostly concentrated around Assumption Catholic Church. Germans and Luxembourgers seem to have intermarried.
If your family has roots in the area, consider contacting the Adams County Historical Society. They've made many historical resources made available online. Their image collection is extensive, as is their collection of histories of the area. If what you're looking for isn't there, you can order archival research through their website. For a fee, they will search city records, newspapers and more.