I have just seen your link to the Pebody name in London. I wonder if my 2 x great grandmother, Mary Ann Pebody, is the sister of Eliza.
Mary Ann was born c 1817 Clerkenwell or St Luke's depending on which census you look at. She married William Gray in 1833 in Old Church, St. Pancras. In 1841 she was living in Pinks Row, St. Lukes with William a rug weaver and their children Jane Charlotte, (christened in St. Leonards, Shoreditch,1837), Mary Ann and William. The family were living in St Vincent Street in 1837.Soon after 1841 the family moved to Kidderminster where they had 3 more children, Edward, Edgar Joseph(my great grandfather) and Charles.
I have not been able to find any information on the Pebody family at that time so if you know anything I would love to hear from you.