A second marriage with one child.
Here is some additional information that I have found on Joseph Goodhue.
History and Genealogy of the Goodhue Family in England and America to the Year 1890, compiled by Rev. Jonathan E. Goodhue, A.M. and published by E.R. Andrews, Rochester New York in 1891 provides the following information:
Parents: William and Hannah (Dane) Goodhue. Joseph was the third child born Mar 1676. He m1. 1707-8, Abigail Low; after her decease, 1726, aged 40, he m2. Oct 1727, Mrs Elisabeth Gilbert. His will was proved in 1739, and he probably died that year. His children were: Francis, b. 2 Jun, O.S.; 13 Jun, N.S., 1710; Joseph, b. 14 Aug 1712; William b. 8 May 1715; Abigail b. 7 Aug 1717; David b. 16 Jul, 1719, d. 9 Nov 1741, unmarried; Jonathan b. 16 Jul 1719; Jeremiah b. 14 Feb 1722; Daniel b. 31 Aug, 1728, child of second marriage.
Massachusetts Vital Records to 1850 (Online Database: AmericanAncestors.org, New England Historic Genealogical Society, 2001-2010).
Ipswich Births, page 163
Goodhue, Joseph s. William and Hannah, Mar 8, 1676
Ipswich Marriages, page 190
Goodhue, Joseph and Abigail Low, int. Jan 31, 1707-8, C.R. 4-church record, Chebacco Parish Church
Ipswich Deaths, page 568-569
Goodhue, Abigail, w. Joseph, Nov. 15, 1726, in her 40th y. G.R. 4 - gravestone record, Old Essex Cemetery
[possible death record of Joseph] Goodhue, Joseph, Sergt., of Chebacco, d. July 21, 1739