I have provided you the family and what category to choose in the Random Name Generator. Here is the link
http://behindthename.com/random/, for quick use.
DH: fn, one mn: Greek and Polish
DW: fn, one mn: Dutch and German
DD/DD: fn, two mns: Danish and Finnish for both
DS: fn, three mns: Celtic myth and Hillbilly
DS: fn, one, mn: Jewish and Wrestler
DD: fn, three mns: Hawaiian and Fairy
DD: fn, one mn: French and Swedish
DS/DS: fn, two mns: Scottish and Welsh for both
Enjoy!