Methods of positioning an elevating support vessel

A vessel is provided that is an improvement over previously disclosed jack-up rigs and lift boats. The vessel has at least three thrusters and is self-propelled. The vessel additionally has a raised and hollow crane support on which a crane may be mounted. The crane support is preferably affixed to tracks, which permit the crane to slide along the deck of the vessel. The raised and hollowed feature of the crane support permits the storage of equipment and things beneath the crane support without hindering the movement of the crane along the tracks. Optionally, the vessel further has an extension assembly atop which may be deployed a workover rig assembly. The crane may be used to assemble the extension assembly and thus aid in the construction, remediation, and demolition of offshore oil and gas platforms and wells.