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/5478642----
Round 3: name the couple's youngest 2 kids
DC3:
DC4:
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): Morgan Wesley Peter Sebastian Nathan Rune Jonathan Elias Aneirin Bram
girl names (d10x2, reroll if same): Harriet Marguerite Violet Cordelia Amabel Jane Elinor Cecily Peony Talitha
jobs (d6, no reroll): librarian, lawyer, costume designer, builder, basketball coach, game shop owner
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)