I THINK I have identified Elizabeth BUT you need to apply for Annie Louisa's birth certificate to see what else is given about Elizabeth, i.e. occupation, address.
Annie Louisa's birth is registered in Caerlaverock, Dumfriesshire - and the most recent census shows one Elizabeth Stewart there, working as a servant - age 24 and born Closeburn, Dumfriesshire. Her parents also living in Caerlaverock.
Elizabeth Stitt Stewart was born 19th August 1886 Closeburn, daughter of Alexander Stewart and Ann Stitt who married at Closeburn 23rd April 1886. They only had 2 surviving children i.e. Elizabeth and an older brother who was born in 1882 - his birth is registered as Thomas John Stitt but he appears as Stewart on census. As Elizabeth only had one brother this Thomas must be the 'uncle' who raised Annie Louisa (he possibly married a Mary Graham in Dumfries 1919??)
Alexander Stewart was born 10/4/1858 Little Dunkeld, Perthshire, son of Peter Stewart and Emily Crerar (she died 1859). His parents were not married (so birth registered under Crerar) but he and his father Peter(still unmarried) are living with Peter's parents (John and Ann) in Little Dunkeld in 1861.
Think you need to invest in some credits for Scotlands People so you can check all this information for yourself.
Annette