the presidential family in America originally bore the name Van Roosevelt, "of the field of roses," descriptive of their estates in Holland. Claes Martenszen Van Rosenvelt, emigrated to New Amsterdam 1649. His son (1653) and all his descendants dropped the "Van." Related: Rooseveltian.
In the sense of "person liberally and excessively sympathetic" (especially toward those the speaker or writer deems not to deserve it) is attested by 1951, but said by many to have been popularized with reference to liberals (especially Eleanor Roosevelt) in 1930s by newspaper columnist Westbrook Pegler (1894-1969), though quotations are wanting; bleeding in a figurative sense of "generous" is from late 16c., and the notion of one's heart bleeding as a figure of emotional anguish is from late 14c.; the exact image here may be the "bleeding heart of Jesus."