[Merry]

In post #4 I wondered if Mary Elizabeth (1874) and Hannah (1881) were siblings.

I don't think they were, as there is a reg for Hannah Barkley mmn White in Toxteth Park district in Q1 1882 - William Barkley and Hannah White only married in 1880 and he was a bachelor and aged 21 (living at Arthur St), so isn't going to be Mary Elizabeth's father. That means you can forget about John Barclay and his wives Martha and Letitia and Arthur Street as that family are connected with Hannah Barclay 1881 and not directly with Mary Elizabeth.