I found the following information at http://www.ancestry.com/http://www.ancestry.com/ Social Security Death Index (SSDI).With no more information than you gave, there were too many (266) William Sharpes to send to you. Go to their site and fill in what information you have.
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DORA SHARPE Request Information SSN 260-62-9248 Residence:31066Musella, Crawford, GA Born 23 Dec 1886 Last Benefit: Died Feb 1966 Issued:GA (1957 And 1958)
Information on the SSDI Ancestry.com's Social Security Death Index (SSDI) is generated from the U.S. Social Security Administration's Death Master File. It contains the records of deceased persons who were assigned Social Security numbers and whose deaths have been reported to the SSA. The index is current to the end of 20/12/2000 and contains 64,549,349 records.