I don't recognize Jane McConnell from my genealogy, as any wife of Daniel Anderson.
My Daniel Anderson married Rachel Worthington, and had children by him, and lived into old age until she died 6 Dec 1830. I don't have Rachel recorded as mother of any Mary (Anderson) Lindsey, but trees online seem to indicate that Mary was also a daughter of Rachel.
So this identity of this mother of Mary as "Jane McConnell" needs further study.