I'm just going to ignore everything said thus far and say this:
When I'm married, it's not my home, it's OUR home.
It's not my children, it's OUR children.
It's not my dinner, it's OUR dinner.
As far as I'm concerned, how those things become OURS is not really relevant to me (except the children of course ).
Yes, some adoption agencies are more lenient than others.