This is our Medina Nursery Garden Center page. We have listed the full address of Medina Nursery, phone numbers and websites. Medina Nursery is in Southampton. Medina Nursery sells gardening and lawn care supplies, garden tools and equipment, garden furniture, water gardens and garden accessories in Southampton. You�ll find everything from plants, shrubs and trees to soil and gardening tools. All the supplies you�ll need to build your garden. This Garden Center is in Southampton.