This game will have a dice option and a choice option! You can decide to play one way or the other, or do both and compare your choice family vs. randomly generated family. You can also decide to do something like using the dice for genders but free choice for the names, as long as you're consistent (so whatever you do in round 1 is what you have to do for the whole game).
Dice if you're using them:
http://www.brockjones.com/dieroller/dice.htm----
Round 1:
https://www.behindthename.com/bb/game/5478637Round 2:
https://www.behindthename.com/bb/game/5478642Round 3:
https://www.behindthename.com/bb/game/5478783Round 4:
https://www.behindthename.com/bb/game/5478847Round 5:
https://www.behindthename.com/bb/game/5479007Round 6:
https://www.behindthename.com/bb/game/5479137Round 7:
https://www.behindthename.com/bb/game/5479710----
Round 8: Child 4 has 2 kids!
Note on hobbies: vague-sounding hobbies can be made specific (so "snakes" could mean looking for snakes in the wild, keeping pet snakes, learning everything there is to know about snakes, etc.)
gender (d20):
19-20 = nonbinary
all other odd numbers = boy
all other even numbers = girl
for nonbinary characters you can combine the namebanks and roll a d20
boy names (d10x2, reroll if same): Bennett Willem Tennyson Octavian Stephen Laurus Cypress Michael Kiernan Ansel
girl names (d10x2, reroll if same): Amber Heline Sorcha Vivienne Tatiana Elowen Miriam Kyra Anna Nuria
hobbies (d6, no reroll): skateboarding, dogs, synth music, fantasy books, hiking, tabletop RPG's
nicknames (d6, no reroll):
1= no nickname
2= obvious nickname
3= no nickname
4= non-obvious nickname
5= obvious nickname
6= silly or babyish nickname (only used by family)