A glass sheet press station comprising: a lower ring above which an initially formed glass sheet is positionable, the initially formed glass sheet having an upwardly concave shape including upper end portions spaced laterally from each other relative to a first direction and also including a lower intermediate portion that extends transversely with respect to the first direction between the end portions, with the end portions and the lower intermediate portion having straight line elements along the first direction, and the initially formed glass sheet is curved transversely to the straight line elements with its upwardly curved shape; the lower ring including: end portions spaced laterally from each other relative to the first direction with upwardly concave curved shapes along the first direction; intermediate portions spaced from each other along the first direction with upwardly concave curved shapes extending transversely to the first direction; a support frame on which the intermediate portions of the lower ring are mounted for movement with the support frame; and a pair of connections that respectively mount the end portions of the lower ring on the support frame for vertical movement with respect thereto and with respect to the intermediate portions of the lower ring from a lower position in an upward direction to an upper position to provide initial further forming of the end portions of the glass sheet; an upper mold located above the lower ring and having a downward facing surface with downwardly convex curvature along and transverse to the first direction in complementary relationship to the curvature of the lower ring with its end portions in the upper position; and the support frame with the lower ring thereon and the upper mold being vertically movable toward each other for the initial further forming of the end portions of the glass sheet by the upward movement of the end portions of the lower ring as the end portions of the glass sheet are contacted with the downwardly facing surface of the upper mold to provide curvature to the straight line elements of the end portions of the glass sheet while the intermediate portion of the glass sheet still has straight line elements, and the support frame with the lower ring and the upper mold subsequently being movable toward each other so the intermediate portions of the lower ring move the intermediate portion of the glass sheet upwardly into contact with the downwardly facing surface of the upper mold to form the straight line elements thereof with curvature so the entire glass sheet has curvature in transverse directions. a lower ring above which an initially formed glass sheet is positionable, the initially formed glass sheet having an upwardly concave shape including upper end portions spaced laterally from each other relative to a first direction and also including a lower intermediate portion that extends transversely with respect to the first direction between the end portions, with the end portions and the lower intermediate portion having straight line elements along the first direction, and the initially formed glass sheet is curved transversely to the straight line elements with its upwardly curved shape; the lower ring including: end portions spaced laterally from each other relative to the first direction with upwardly concave curved shapes along the first direction; intermediate portions spaced from each other along the first direction with upwardly concave curved shapes extending transversely to the first direction; a support frame on which the intermediate portions of the lower ring are mounted for movement with the support frame; and a pair of connections that respectively mount the end portions of the lower ring on the support frame for vertical movement with respect thereto and with respect to the intermediate portions of the lower ring from a lower position in an upward direction to an upper position to provide initial further forming of the end portions of the glass sheet; an upper mold located above the lower ring and having a downward facing surface with downwardly convex curvature along and transverse to the first direction in complementary relationship to the curvature of the lower ring with its end portions in the upper position; and the support frame with the lower ring thereon and the upper mold being vertically movable toward each other for the initial further forming of the end portions of the glass sheet by the upward movement of the end portions of the lower ring as the end portions of the glass sheet are contacted with the downwardly facing surface of the upper mold to provide curvature to the straight line elements of the end portions of the glass sheet while the intermediate portion of the glass sheet still has straight line elements, and the support frame with the lower ring and the upper mold subsequently being movable toward each other so the intermediate portions of the lower ring move the intermediate portion of the glass sheet upwardly into contact with the downwardly facing surface of the upper mold to form the straight line elements thereof with curvature so the entire glass sheet has curvature in transverse directions.