Actually, Ussher's chronology claims to go back to the very beginning, placing it on October 23, 4004 BCE.
And from thence I gathered the creation of the world did fall out upon the 710 year of the Julian Period, by placing its beginning in autumn: but for as much as the first day of the world began with the evening of the first day of the week, I have observed that the Sunday, which in the year 710 aforesaid came nearest the Autumnal quinox, by astronomical tables (notwithstanding the stay of the sun in the dayes of Joshua, and the going back of it in the dayes c Ezekiah) happened upon the 23 day of the Julian October; from thence concluded that from the evening preceding that first day of the Julian year, both the
first day of the creation and the first motion of time are to be deduced.
J. Ussher, The Annals of the World (1658)
He most definitely doesn't peg this beginning to the creation of man.