An enhanced stability crane (100) is described. Embodiments include a telescoping main support mast (114) upon which a crane base (106) resides. A boom (140) projects upwardly from the crane base and a jib (148) typically projects upwardly from the boom. A clamping assembly (108) resides on the main support mast and is configured to attach to an existing structure adjacent to the crane, in order to enhance stability. Multiple clamping assemblies can be distributed along the telescoping main support mast when it is extended. The existing structure is generally a tower structure (180) that is columnar and vertical in shape and orientation, and frequently has an elliptical horizontal cross-section. Tower structures are typically, but not necessarily, wind turbine towers. In some embodiments, the crane is mobile capable of lifting objects weighing about 110 tons to a height of about 400 feet. The crane typically adjusts to a collapsed configuration, enabling facile transport.