A method of deploying an eversible branch stent-graft includes deploying the eversible branch stent-graft into a main vessel such that a collateral opening in a main stent-graft of the eversible branch stent-graft is aligned with an ostium of a branch vessel emanating from the main vessel. A branch stent ring suture threaded though outer exposed crowns of an outer stent ring of the branch stent-graft is grasped and pulled through the collateral opening to evert the branch stent-graft into the branch vessel as a branch anchor suture is removed to release a protruding end of a branch stent-graft from a proximal end of the main stent-graft.