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In short, yes grandparents do have visitation rights in many circumstances and you can read about the law at the following link: http://la-legal.com/louisiana-grandparent-visitation/
The easiest framework to fit into is usually the standard set by Title 9 of the Civil Code Ancillaries, which allows grandparent visitation where the visitation would be in the best interest of the child/ren.
But, in order to enforce these rights, you'd have to petition your local family law court and ask the court to grant you the right to visitation with your granddaughter.