Could Lydia's parents be Peter McConnell and Phoebe Ann Way? It does fit with the Quaker connection and the names of the neighbors. Phoebe's parents were Amos Way and Mary Smith. Her father was Asa Smith. Amos' parents were Samuel Way and Catherine Pine who were very serious Quakers. If Phoebe was Lydia's mother, some of the aunts and uncles connected to Phoebe would have been Martha Patty Way Bates,
James Way(Hester Martindale), Ellen Way Sharrard, Margaret Way Middleton, Rachel Way Harrison,Catherine Way Harrison, Elizabeth Way Ward,Samuel Way. and Daniel B. Way (Sarah Pierce). The Chisholms were relatives of the Ways.