poorboy on Family Tree Circles

William Baker was 10 years old in the 1800 census. He fought in the War of 1812, received a land grant in Warren County, Illinois in 1818. He married an Elizabeth ???? who was born in New York around 1814-1816. They were married around 1836-37. She was 36 years younger than him. Frederick Baker was one of his sons. Does anyone have information on where and how William and his family arrived in America or any information on his wife's maiden name. Thank you all!!