Ah, OK...I've just read your other thread about the family.
Unfortunately there is no proof that Louisa's father was named Albert...he probably was a Nash, if she was given that as a middle name, but as others said on the other thread, no Albert Nash, engineer, is showing up in the census.
I searched up to 1910 on FreeBMD for the death of an Albert NASH of a suitable age (i.e. over 20) around the right area but came up with nothing. Searching just for NASH across the whole of England and Wales between 1890 and 1910 gives nearly 5000 results - restricting it to just the Islington reg. district shows a few males around the right age but none called Albert.
A birth certificate for Louisa would be the only way of determining what her father's name really was, but as she was apparently illegitimate, it will almost certainly only show her mother's name and no father

I can only suggest that someone might be able to look up local newspapers for you, for articles about a bar brawl leading to a death, but without a date it would be a hard slog.
I can't think of anything else helpful at the moment, sorry...
Cheers
Prue