According to the 1789 Boston City Directory, "Nathaniel Nuttage" was a house-wright.
Nathaniel may have married a second time: "In Boston, Mr. Nathaniel Nottage, aged 62, to Mrs. Harriet Witherbe, aged 29, after a courtship of 3 weeks and 6 days" (source: 23 March 1819 Rochester Telegraph). I am including this marriage here pending further confirmation.
I am not sure Nathaniel belongs to these parents (needs more research to confirm).