Natasha was raised by Winter Soldier and spent childhood in and out of cryosleep -- *found!

[ladyhatshepsut]

I've been looking for this for over a month and got no answer yet to an earlier post, so I'm trying again.  Natasha was raised by the Red Room and was allowed to go to school with the children of Party officials because of her father's status as the feared Winter Soldier.  Like Bucky, she was in and out of cryosleep and aged at a much slower rate,

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[ladyhatshepsut]

Finally found it! It's a series called "Family is What You Make It" by Odsbodkins at AO3. Unfortunately it's been unfinished for 4 years.