Census Records

Since Hudspeth wasn't created until 1917, the first US census record for it is in 1920. Previous to that, records for the area will be found in El Paso County. Indices and images are available to everyone with a free account at the LDS on-line library. Don't forget to check adjacent counties.
The 1920 census was enumerated in January and many families were missed, likely due to weather. It offers very little in the way of extra information except for the names of the roads on which the people lived. The index to this census is available to everyone with a free account at the LDS on-line library.
The 1930 offers addresses for folks in town, age at first marriage and veteran status. The index to this census is available to everyone with a free account at the LDS on-line library.
The 1940 offers addresses for folks in town, education level, residence in 1935, employment status and total income for 1939. The index to this census is available to everyone with a free account at the LDS on-line library.
The 1950 Federal Census desn't offer as much information as in previous years but is still worth investigating. The index to this census is available to everyone with a free account at the LDS on-line library.