Answer:
The answer to the question: Why did Francis West sail up the Chesapeake Bay, would be: because he was sent on one of the supply missions with James Davis, in 1609, to trade corn with the Patawomekin by George Percy, President of the council of Jamestown.
However, even though the two men, including West, did arrive to carry out the trade with the Indians, in order to re-supply the Jamestown colony, and avoid the starvation of the colonists, West decided not to carry the cargo to the town, but rather, sailed with it to England.
