Gov. David A. Paterson personally helped draft a statement last month that he hoped would be endorsed by a woman involved in a domestic dispute with one of his top aides, proposing language asserting that there had been no violence in the encounter, according to three people with knowledge of the governor’s role. On the night of Feb. 16, with The New York Times preparing an article on the aide, David W. Johnson, Mr. Paterson told his press secretary the key points that needed to be included in a brief statement that was sent to the woman, Mr. Johnson’s former...