Yes, this is correct. If her total support for the year spent was $20,000 and she paid $15,000 toward her own support, you cannot claim her as a dependent because she paid for more than 1/2 of her own support.
You are also correct in stating that dependency is not determined by the types of income mentioned. This is relevant in determining rather she needs to file a tax return or not. Has nothing to do with dependency determinations.
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