Silver River Museum Information. The Silver River Museum is located in the 5,000-acre Silver River State Park just east of Ocala. Open weekends from 9 to 5, and weekdays during June, July and most holidays. Admission is $6 per car to get into the State Park and $2 for the museum.The address is 1445 NE 58th Ave., Ocala FL 34470.Phone: (352) 236-5401.Website: http://www.silverrivermuseum.com.dmission is $6 per car to get into the State Park and $2 for the museum. The address is 1445 NE 58th Ave., Ocala FL 34470. Phone: (352) 236-5401. Website: http://www.silverrivermuseum.com.