1900 U.S. Census gives lots of details including month and year of birth, how long married, when arrived in U.S.
There's a John Tucker in Newark, N.J.: born June 1869 Ireland, to U.S. 1890 but he's married c1897 to Catherine and his mother Mary is also listed in household (she arrived later).
There's a John Tucker in Brooklyn, N.Y.: born Apr.1871 Ireland, to U.S. 1885, m.c1892 Elizabeth.
Are either of these your John Tucker? if not, could you give us more details like wife's name, names and ages of children, etc. so we can try to trace him back to Ireland.