A method for stemming or stopping bleeding of a hemorrhagic uterus. A pair of rigid shells in which pair of inflatable bladders is nested is placed in mirrored spaced opposition to one another in front of and behind the uterus and the broad ligament supporting the uterus. The rigid shells include a proximal base and a distal portion and have a releasable interlock comprising at least one latch only on the proximal base of one shell and at least one latch catch only in the proximal base of the other shell. The proximal base of each shell provides a platform to cantilever the distal portions when the shells are interlocked. After the placed shells are releasably interlocked, the bladders are inflated to compress the uterus anteriorly and posteriorly to stem or stop hemorrhage.