Dear Ms. Golden,
Thank you for posting your request on History Hub!
The Federal Government does not ordinarily create or maintain birth, death, marriage or divorce records. Such records are made and kept by State and local governments rather than the National Archives. For a copy of various vital records, we suggest that you contact the Mississippi Department of Health or the Tennessee Department of Vital Records.
We searched the National Archives Catalog and located Population Schedules for the 1930 Census; and Population Schedules for the 1940 Census in the Records of the Bureau of the Census (Record Group 29). Some 1930 census records are digitized but not all. However, we located 1940 Census Memphis, Shelby ED 98-309 (see Image 13) that contains information about Phillip Brocato as head of household residing with his wife, 5 children, and mother-in-law.
We also searched Ancestry and located Phillip Brocato on the 1930 Census residing in Tunica, Mississippi with his wife, 4 children & brother-in-law. There may be a fee for using Ancestry. Instead, you may view these records online at one NARA's facilities for free via a NARA PC. For the nearest NARA location, please consult our web page at https://www.archives.gov/locations/. Also, some of the images from Ancestry are available for free on Family Search at https://www.familysearch.org/en/.
We hope this is helpful. Best of luck with your family research!