Finding records of your family is very important part of your research because multiple records can help to verify your data.
Geneaology without the proper sources is mythology.
Talk to your elderly relatives now and gather important information. Then try to verify the information in a source.
How can I get records from Social Security for genealogical research?
To get records of a deceased individual from Social Security, you will need to file a Freedom of Information Act request. For a fee, records potentially available include the Application for a Social Security Card (form SS-5) and information from the claims folders for past benefit recipients. The Guide to Freedom of Information Act explains how to file a request online or by mail, as well as fee information.
For a fee, you can join Ancestry.com and use the Social Security Death Index.