Jacob Alderton's 1st wife was Sarah Largent with whom he had: Thomas b1832 (my gr.gr.grandfather), Harriett 1835, and John 1836.
Sometime around 1851 Sarah Largent Alderton died and Jacob married (Anna)Maria Hardy (don't know if it was her 1st marriage or not) and they had: Sarah 1852,Jacob 1855,David 1859, Margaret 1861 (she may be your Maggie), Jacob B. 1864,Martha A. 1868, and Peter 1876.Then Jacob died in 1877. I don't know anything else about (Anna) Maria Hardy or her relationship to Jeremiah.... possibly sister or even mother?If you can find an official marriage record, it might give further clues.Hope this helps. Kathleen