Forsooth and verily, cultures specific to the region within the United States of America known commonly as New England do follow such a tradition. The portents of which are to sustain some connection to the matriarch's descendants.
In the case of multiple progeny, it is common for those of caucasian descent to borrow a page from the african-americans and give the following male progeny names that liken the memories of famous presidents, i.e. Kennedy, Lincoln, Jefferson.