Tybee was extremely important because of its location at the mouth of the Savannah River. The island is the easternmost point in Georgia. Tybee has nearly 3 miles of sandy beaches perfect for sunbathing and swimming , water sports, kayaking, fishing and amazing salt marshes. Read below for a full history of Tybee Island. Most travelers flock to the island for Tybee Island Beach, part of the five miles of public beaches ideal for sunbathing, surfing and swimming in the Atlantic Ocean. Elvis Lives! · Endangered sea turtles use Tybee Island beaches as an important nesting areas.