May is Edna May Sherman b. 1873 d. 1876 - 2nd child of William Henry and Ellen Sophia Lawrence.
E. S. S. and W. H. S. are presumably two additional children who died young.
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BillionGraves.com record for Mary Elizabeth Sherman (22 March 1830 - 6 December 1887), BillionGraves Record Cambridge Cemetery, Cambridge, Middlesex, Massachusetts, United States, North America