Green’s Dictionary of Slang

outside Eliza! excl.

also outside Liza!
[according to Ware, from the evidence given in a specific court case]

go away! be off!, esp. used to a woman considered drunk.

[UK]London & Provincial Entr’acte 30 Aug. 12/2: [advert] ADAMS and JONGHMANS, Author and Composer of the last now populars ‘Masher King,’ ‘Ou Guard’ (Charles Godfrey); [...] ‘Hold him!’ (Coyne); ‘Outside Eliza!’.
[UK]Derby Mercury 21 Oct. 6/5: ‘OUTSIDE, ELIZA!’ — Ann Ashford was summoned for assaulting Elizabeth Snuch [...] Defendant said she only just tapped Snuch on the face, and said, ‘Outside, Eliza!’.
[UK]J. Ware Passing Eng. of the Victorian Era.