I too am researching the Darlingtons from the Atherton/Tyldesley/Little Hulton area. I am stuck on Sarah Ann Darlington (nee Eccleston). She married Joseph Darlington in 1902, and was widowed 1910 (Pretoria mine disaster). She had two daughters (Edna Teresa b.1903 d.1994 & Ethel b.1905 d.199?). Sometime after 1911 she moved with her daughters to Birmingham, but I cannot trace an address or date of death. I was told by her grandaughter that she is buried in Witton (Birmingham) cemetery and died in the late 1940's/early 1950's), but no trace can be found.