Are there any benefits to getting married?
Solution 1:
Your spouse can help you forage and cook, but I don't think children fufill any purpose except for being "trophies" of a certain event.
You need to make the Child Bed blueprint in order to trigger the pregnancy event (you can buy it from Rebecca 7 days after your marriage event, the pregnancy lasts for about 60 days). The gender is random, but you can save the day before and reload and get the opposite gender. It would seem that only your kids grow in this game (the village kids stay kids forever...).
Your kids only come in 2 color pallets (blonde and brunette), one for each gender regardless of who you marry. Each of their growth stages (baby, toddler, child. You can give them a special Grown-up candy that you get from Alice [give her Royal Jelly] to turn them into teens for 30 days) lasts for about 60 days.