I want my youngest daughter to take over my business.
I want my youngest child to inherit my business.
「娘」→「Daughter」
「末っ子」→「Youngest child」(娘の場合Youngest daughter, 息子の場合Youngest son)
「継ぐ」→「To take over, To inherit」
「〇〇に継いでほしい/継いでもらいたい」→「To want 〇〇 to take over, To 〇〇 to inherit」
まとめて言いますと、
「I want my youngest daughter to take over my business.」
「I want my youngest child to inherit my business.」
と表現します。
どちらでも使えます。