Elizabethtown Museum Original 1860 Eagles Nest, NM Museums Red Eagle Golf Course Eagles Nest, NM Golf Courses Enchanted Circle Scenic Byway Eastern gateway, from US 64 north on NM 38 begins 85 Eagles Nest, NM Scenic Drives Eagle Nest Lake Now state-owned. Fishing for kokanee salmon / Eagles Nest, NM Recreation Elizabethtown Eagles Nest, NM Ghost Towns