Thanks for your efforts Retlaw. It is thought that Lizzie has Southport connections so that may explain why the local census doesn't include her.
I've found one hit in the
Newspaper Detectives site on 25/03/1916 by Mr. Kirkbright regarding Accrington Esperanto Society so the club was running until at least this date.
Edit: I've also found an entry on
Newspaper Detectives on 25/03/1916 from Mr Harrison regarding Accrington Esperanto Society - place recorded as Burnley. I'll pass these links on shortly so copies can be obtained if wanted.