The current document discloses methods and systems for extending an internal network within a first cloud-computing facility to a second cloud-computing facility and deploying a virtual machine or virtual application previously running on a first cloud-computing facility within the context of the extended internal network in the second cloud-computing facility by internal-network extension and redeployment of virtual machines and virtual applications by a stretch-deploy operation, allowing the virtual machine or virtual application to resume execution on the second cloud-computing facility, using the computational and storage facilities of the second cloud-computing facility but depending on network support from the first cloud-computing facility. In addition, the current document discloses a snap operation that permanently relocates a stretch-deployed virtual machine or virtual application to the second cloud-computing facility.