According to my records on the Bradway family, Parker Bugbee was the son of Daniel Bugbee. Parker was b. 31 Aug 1773 and d. 28 Jan 1852, bur. Moulton Hill Cemetery, Monson MA. They had 13 children, although some died young. Lovina Bradway was b. 19 Feb 1780, d. 5 Oct 1857 Monson (bur. with Parker). She was a dau. of WIlliam [3] Bradway (Thomas [2], WIlliam [1]). No date or reference for their marriage, but likely before 1800, when their first child, Matilda, was born.

My source: Bowen's "Genealogies of Woodstock CT Families," Vol 3.
Bette Innes Bradway, CG