Anneliese in all its spellings is getting as popular as Violet, so I don't think you'd score by using it. Anne, however, might work as a second mn. EloiseVioletAnne is really distinctive and rhythmically excellent.
I live in Canada and Anneliese isn't at all popular here. In fact I've never met anyone named this! My middle name is Ann and so is my mother's, so EloiseViolet Ann(e) would be a nice combo.. :) Thanks!