Final answer:
Anthony Ashley Cooper supported Charles II's rise to the throne, was active in American colonization but later fell out of favor and died in exile.
Step-by-step explanation:
After Oliver Cromwell's death, Anthony Ashley Cooper, the Earl of Shaftesbury, initially supported Charles II's ascension to the throne during the Restoration, influenced by his previous support for Cromwell but recognizing the need for a stable monarchy. Cooper's activities included significant involvement in the colonization of the Americas, with investments in Barbados, Hudson Bay, and Carolina, reflecting his interest and influence in the expansion of British territories. However, due to disagreements with later policies of Charles II and fears of a Catholic succession with James, Charles's brother, Cooper died in exile in Holland, despite his early support for the monarchy.