An email via Ancestry.com asked about the posted family tree for Hiram Hurst, showing his father as Joseph Hurst and his mother as Rebecca Verner. Research of Hiram and Joseph resulted in finding that Joseph had a sister, Rebecca Hurst who appears to have married George Moystin (Mostin/Mostyn).1 A 1848 death notice for a George Mostin in Philadelphia indicated the funeral was to be held at his brother-in-law, William Hurst's home on Callowhill Street below 11th2. This information suggests that Rebecca, Joseph and William were siblings.
The cemetery plot for Joseph Hurst and his family was discovered, originally located in Odd Fellows cemetery in Philadelphia, PA which was closed and the graves relocated to Lawnview Cemetery3. A plot deed lists a Joseph and apparently the letters, Sr. being reinterred at Odd Fellows "from Lafayette Cemetery" with interment date of 3 October 1850.
Thus, the circumstantial conclusion was that Joseph Sr. was the father of Joseph, Rebecca, and William Hurst.