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If you haven't read this yet, http://www.mangago.me/read-manga/the_duchess_with_an_empty_soul/ It's amazing, and it's similar to what you're looking for. Such a strong female lead
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Eden No Hana, she might not catch the eye of an noble or prince, but she grew up in a household where she was sexually abused by her stepbrother and later on when moving out catches the eye of two great guys.
Tokio is so awesome, might as well be qualified as a prince >.>
Also she is beautiful ^^
And also http://www.mangago.me/read-manga/silver_fujita_kazuko/ might be something you would enjoy, though it isn't completely what you are looking for, female lead grows up from being overweight, unattractive to beautiful and very strong.. Though some of it is help of plastic surgery.. But the guys are completely weak for her in the future.
I want to read something where female lead grows up in an abusive household but she grows up to be an amazing person and catches the eye of a prince or noble, I want to read something cheesy lmaoo (〜 ̄△ ̄)〜