This is Joseph's gravestone information at Newport's Common Burying Ground:
Rogers, Joseph; c1671 - 2 Oct 1710; husband of Mary. (source: "Newport, Rhode Island Colonial Burial Grounds" pub. 2009 by RI Genealogical Society, p. 245)
The will of Joseph Rogers of Newport, merchant, is dtd 20 Sep 1710 and was proved 6 Nov 1710. It mentions his wife Mary, son Joseph, and daughters Mary & Elizabeth; also "the child my wife is pregnant with"; daughter-in-law Iris Jenkins [probably stepdaughter]; brother John; and brother-in-law Edward Smith.
[S013793] Sterling, John Eylers; Austin, Barbara J.; Champion, Letty R., Newport, Rhode Island Colonial Burial Grounds, (Rhode Island Genealogical Society, 2009), 245.