A prosthetic heart valve includes an annular stent having annularly spaced commissure portions. The tips of the commissure portions are preferably covered with fabric, and then additional fabric covers that fabric and the remainder of the stent, both inside and out (possibly also including a sewing ring insert at or near the base or inflow edge). The fabric is then covered by a layer of tissue, again both inside and out. A single sheet of additional tissue is mounted around the outside of the previously assembled components. This additional tissue forms the leaflet portions of the valve. The leaflet portions of the additional tissue are shaped by contact with a shaped mandrel, and the tissue of the structure is subjected to fixation (e.g., cross-linking) to produce a completed valve.