An apparatus for constructing a glass furnace regenerator structure formed of large pre-cast refractory blocks stacked on a foundation to form end and side walls (16, 18) and vertically oriented buck stays externally supporting the walls (16, 18) and an interior comprised of checker bricks, the apparatus comprising an overhead crane assembly attached to and supported by the buck stays, wherein the apparatus further comprises: opposed pairs of upright supports connected to at least a respective one of the vertically oriented buck stays, and cross-support beams latitudinally spanning the glass furnace regenerator structure and connected between respective pairs of the supports, wherein the pairs of upright supports comprise: a plurality of foundation beams rigidly installed between respective adjacent pairs of buck stays; pairs of upright support beams each supported by a respective one of the foundation beams, and wherein the overhead crane assembly comprises: a pair of raceway beams, each raceway beam longitudinally extending relative to the regenerator structure and dependently supported by the cross-support beams; and a hoist assembly moveably mounted to the raceway beam, and a bridge beam moveably mounted to the pair of raceway beams for reciprocal movements therealong in a longitudinal direction of the regenerator structure; wherein the hoist assembly is moveably mounted to the bridge beam for reciprocal movements therealong in a latitudinal direction of the regenerator structure, wherein one end portion of the raceway beam is supported in a cantilever manner by a respective pair of support beams and cross-support beam and so as to extend beyond a respective end of the regenerator structure. opposed pairs of upright supports connected to at least a respective one of the vertically oriented buck stays, and cross-support beams latitudinally spanning the glass furnace regenerator structure and connected between respective pairs of the supports, wherein the pairs of upright supports comprise: a plurality of foundation beams rigidly installed between respective adjacent pairs of buck stays; pairs of upright support beams each supported by a respective one of the foundation beams, and wherein the overhead crane assembly comprises: a pair of raceway beams, each raceway beam longitudinally extending relative to the regenerator structure and dependently supported by the cross-support beams; and a hoist assembly moveably mounted to the raceway beam, and a bridge beam moveably mounted to the pair of raceway beams for reciprocal movements therealong in a longitudinal direction of the regenerator structure; wherein the hoist assembly is moveably mounted to the bridge beam for reciprocal movements therealong in a latitudinal direction of the regenerator structure, wherein one end portion of the raceway beam is supported in a cantilever manner by a respective pair of support beams and cross-support beam and so as to extend beyond a respective end of the regenerator structure. a plurality of foundation beams rigidly installed between respective adjacent pairs of buck stays; pairs of upright support beams each supported by a respective one of the foundation beams, and wherein the overhead crane assembly comprises: a pair of raceway beams, each raceway beam longitudinally extending relative to the regenerator structure and dependently supported by the cross-support beams; and a hoist assembly moveably mounted to the raceway beam, and a bridge beam moveably mounted to the pair of raceway beams for reciprocal movements therealong in a longitudinal direction of the regenerator structure; wherein the hoist assembly is moveably mounted to the bridge beam for reciprocal movements therealong in a latitudinal direction of the regenerator structure, wherein one end portion of the raceway beam is supported in a cantilever manner by a respective pair of support beams and cross-support beam and so as to extend beyond a respective end of the regenerator structure. a pair of raceway beams, each raceway beam longitudinally extending relative to the regenerator structure and dependently supported by the cross-support beams; and a hoist assembly moveably mounted to the raceway beam, and a bridge beam moveably mounted to the pair of raceway beams for reciprocal movements therealong in a longitudinal direction of the regenerator structure; wherein the hoist assembly is moveably mounted to the bridge beam for reciprocal movements therealong in a latitudinal direction of the regenerator structure, wherein one end portion of the raceway beam is supported in a cantilever manner by a respective pair of support beams and cross-support beam and so as to extend beyond a respective end of the regenerator structure.