Hello. I’m returning to this thread as I’ve received Emily’s marriage certificate in the post. It conforms what I’d thought, that her father William Lyon was a bookbinder. On one (at least) of her sibling’s death certificates, his father is listed as a bookbinder. He worked at Pleasance in the centre of Edinburgh.
Through Scotland’s People, I have found more siblings for Emily and for each there is baptism information and for some, death information. Her 7 siblings: John, Janet, Margaret, Henry, Marion Gray, Alexander Monteith and William were all born between 1816 and 1837 with their baptism info listing parents William Lyon and Margaret Austie (sometimes spelled Austin).
So now that I know Emily is William’s daughter and there is evidence of her living with Margaret and the 2 youngest boys in the 1841 census, I cannot fathom why she is the only one to have no birth/baptism evidence online that I can find. If there is any, it’s likely to be that she’s as born in the St Cuthbert’s area of Edinburgh. If anyone can find any birth evidence for her, I’d be so grateful.