My cousin's husband (back in the States) is the sixth 'first born' son in his family line, to be given the exact same name, something along the lines of James Augustus Smith VI (the sixth). His father is the V, grandfather IV and so on. (Obviously I haven't used the same name, but style wise, it's very similar).
When I learnt that my cousin was expecting a son in May, I thought she'd be the one to say it was time for the tradition to come to an end, but I was wrong. Two weeks ago, the birth announcement was e-mailed to me, announcing the arrival of James Augustus Smith VII.
As her husband's grandfather is still alive, it means James Augustus Smith IV, V, VI and VII are all in one family, which I find stark raving bonkers.
Now I'll just have to wait a few decades, to find out if James Augustus Smith VII will be the one to break the tradition. 