Unfavorable wind all night. Today favorable and going ten knots, hopes very much raised. Have some hope of seeing New York tomorrow evening. About eleven this morning it clouded up and has rained about ever since. Williams could not take an exact observation and a little while before dinner it was found that we were sailing direct on Cape Hatteras. We supposed ourselves more to the eastward and clear of the Cape. Williams came not to dinner till all was right. It has become very rough – heavy head sea.