Bittern, located in the picturesque Mornington Peninsula region of Victoria, offers several dining establishments catering to those following a gluten-free diet. One such restaurant is REMUCE, which features an extensive menu including gluten-free options. The Old Nursery Restaurant is another option that lists "gluten-free" as one of its additional offerings. While there are no specific mentions of gluten-free menus or dedicated gluten-free items for these two establishments, they seem to accommodate diners with special dietary needs. For more comprehensive information on gluten-free dining across the entire Mornington Peninsula area, resources like The Ninch provide guides highlighting various eateries offering gluten-free choices.