1. A cloud-connector subsystem that provides a stretch-deploy operation for moving one or more virtual machines and virtual applications between cloud-computing facilities, the cloud-connector subsystem comprising: cloud-connector nodes associated with each of a source and a target cloud-computing facility; and a cloud-connector server that includes one or more processors, one or more memories, one or more data-storage devices, and computer instructions that, when executed on the one or more processors, control the cloud-connector server to provide, in cooperation with the cloud-connector nodes, a snap operation that permanently relocates one of a virtual machine and a virtual application in a target cloud-computing facility to which the virtual machine or virtual application was moved by a stretch-deploy operation that extended a first local virtual network within the source cloud-computing facility to the target cloud-computing facility, forming an extended local virtual network and moved the virtual machine or virtual application from executing on the source cloud-computing facility and communicating with other computational entities through the local virtual network using one or more network addresses to executing on the target cloud-computing facility and communicating with other computational entities through the extended local virtual network using the same one or more network addresses.