Despite the fact they have been renamed 'Families Quarters', the bottom line is you will not get one if you are not (or have not been) married (Marital Cat 1). The renaming is to reflect entitlement by those who have been married and are now divorced (Marital Cat 2). If you are cat 2 and responsible for your children, you are entitled to a quarter. If you have never been married, but are still responsible for a child, that puts you in marital cat 3. Only those in cat 1 or 2 are entitled to a quarter.
I speak from experience, as I attempted to get a quarter after my first child was born (out of wedlock), and was turned down flat. The RAF defines a family as you and your kids (if they were the product of a marriage), not you and your bird.
16B