In normal RTW at least it is not that way: Every non family general/captain can be adopted through "man of the Hour" if:
-He won a battle against great odds
-You don´t already have too much family members
-and random_percent <75
Meaning: If you have a large empire, and maybe 5 family members, "man of the hour" will allow you to add another member to your family after 4 great victorys.
Normal Adopting works in another way: If the game decides to give you an adoption, it will generate a random, unused name, and random traits.
Adoption Entry in descr_character_traits (1 of 20):
Trigger V0250_Worthy_Of_Adoption_1_VnV_Trigger
WhenToTest OfferedForAdoption
Affects GoodCommander 3 Chance 33
Affects GoodAttacker 2 Chance 17
Affects GoodDefender 2 Chance 17
Affects GoodSiegeAttacker 2 Chance 17
Affects Brave 3 Chance 17
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