A lot of research has been done on the Shrivers in Maryland. It is a German family and the name was originally Schreiber. The late R. Sargent Shriver was a Maryland Shriver.
My ggg grandmother's sister Elizabeth Bentzel married Elias Shriver in Stark County, Ohio, on October 20, 1831. However, I don't recognize the names you've posted. Elias Shriver (1811-1850) was a son of David Shriver (born 1785) and his wife Mary Bachtel. David moved to Ohio and was a wealthy farmer in Stark Co. (His land was valued at $5,000 in the 1850 census.)
David was a son of Henry Shriver (1754-1821) and Anna Barbara Weffley (1757-1830). Henry Shriver was born in Maryland, but moved to Sleepy Creek, Morgan County, Virginia (now West Virginia), where he died. I have 3 sons for Henry Shriver: David, Adam (1788-1874), and Elias (1798-1869).
Henry Shriver was a son of Jakob Schreiber (1714-1794). Jakob came to America as a young man, settling in Maryland.
Perhaps you could tie in somewhere with Jakob, though the only sons I have for him are Henry, Lawrence, and Lewis. Alternately, Sargent Shriver was of a different (though possibly related) Shriver family. Try looking up Sargent Shriver's family and see if your Philip belongs there.