Bob, You've done your homework. If you can identify children William & Francis, his wife is certainly Lucy. But I still feel you might have the wrong death. Do you have a death certificate? It might pay to check the 1863 death. Unfortunately, it doesn't show age. But if you take a 1795 birth which matches census ages of 45 (1841) and 56 (1851) he'd be 68, a long way from 86. I'm assuming 1861 age should be 66 That would leave the 1871 death for the older Jeremiah born 1785. It's just my thoughts for what they are worth. Sometimes a second opinion helps. Peter