Nicolas Trokiner <trokiner@...>
I received many valuable information about my question. The conclusion is that
having a son called Chaim Josek and a father called Josek Lejb is not contrary
to the Ashkenazic naming pattern because these are different names. But most of
all, it seems like the 2nd part of the name is precisely there to remind the
father's name, with the omission of "Ben" or "_owicz".
Thank you again (I think I personally thanked every contributor).