I'm not sure if this is the same man whose name could be William Wood or William Woods or Williams Wood or Williams Woods. His birthplace could be West Indies, Central America, Virgin Islands, or Saint Kitts. He was born between 1870 and 1880 and lived in Manhattan from about 1900 to 1930+, usually in or near Harlem.

1930 census: 2325 7th Avenue near W. 136th Street, Manhattan, New York, NY
HOH—ANTHONY, Florence, 37, b. West Indies
Niece—HENRY, Inez, 1 yr, 3 months, b. NY
Lodger—VALENTINE, Charlotte, 27 b. FL
Lodger—WOODS, Williams, 53, married, musician, works at odd jobs, born circa 1877 in Virgin Islands