Lorraine is located at According to the United States Census Bureau, the city has a total area of 0.25 square miles (0.65 km2), all of it land.(38.569623, -98.317467).
As of the census of 2010, there were 138 people, 47 households, and 40 families residing in the city. The population density was 552.0 inhabitants per square mile (213.1/km2). There were 65 housing units at an average density of 260.0 per square mile (100.4/km2). The racial makeup of the city was 93.5% White, 0.7% Native American, 1.4% from other races, and 4.3% from two or more races. Hispanic or Latino of any race were 11.6% of the population.
There were 47 households of which 36.2% had children under the age of 18 living with them, 74.5% were married couples living together, 8.5% had a female householder with no husband present, 2.1% had a male householder with no wife present, and 14.9% were non-families. 8.5% of all households were made up of individuals. The average household size was 2.94 and the average family size was 3.10.