At Oaklands Cemetery, just outside of West Chester, PA, I came across such a challenge in the Meconkey plot. In the center of the plot stands an obelisk, with names on only two sides - David 1799-1868 and Catherine 1819-1843. In addition to their names on the monument, David and Catherine have plain marker stones near the base of the obelisk. Catherine, David's first wife, died the year after their second son, Richard, was born. They also had a son, Elbridge, who was born two years before Richard. Elbridge died in 1887 and is known to be buried in Harrisburg. In 1851, David remarried, his second wife being Sarah Brinton, who died in 1888. Her marker is in the plot, along with one for her mother, Sibbilla (Kirk) Brinton. Sarah's father, Joseph Hill Brinton, is buried at Birmingham-Lafayette, south of West Chester. But there is one stone in that plot that cannot be identified because there is simply not enough of it left to decipher.
As you can see, there's not much there to work with - the stone looks like the top wore off completely. One possibility that comes to mind is that the stone might be that of David's father, John Meconkey, but since I don't know where or when he died, I have no way at this point of determining if the stone is his. David's mother was Elizabeth Rickabaugh and her stone is in the Union Hall cemetery on Flat Road, though there is no sign of a stone there for her husband.
The other possibility is that the stone was for David's second son Richard, who died in 1873. Richard, apparently, was a troubled young man and had been having mental problems from his college years onward, ultimately committing suicide by drowning in a local reservoir. Finding out about Richard was a bi of a challenge in itself, but the story was told in the Harvard Class report from 1874 for his class:
RICHARD JONES MECONKEY. He remained at home on his father's farm (West Chester, Penn.), his health slowly but gradually improving, until towards the close of the year 1872, when a change for the worse took place in his condition. It soon became manifest that he would again have to be removed to an asylum, in which he had been placed soon after leaving Cambridge in 1864. He begged to be allowed his liberty a little longer, promising not to injure himself or others. On the afternoon of February 5, 1873, however, he managed to escape from his attendant, and was soon found alone in the reservoir, into which he had thrown himself. All efforts to resuscitate him proved fruitless.Could the mystery stone be Richard's? And if it is, why is it in such bad shape?