1099-Q and 1098-T

Q.  Can I enter 1099-Q on my return, claim her education expenses against earnings even though I am not claiming her as a dependent?

Answered at your other post:

https://ttlc.intuit.com/community/college-education/discussion/re-does-the-student-have-to-be-my-dependent-in-order-for-me-to-file-the-1098-t-form/01/2139998#M40474

But you added an  additional detail  here: "I have paid for more than 50% of her support".

That probably means she can not file as a non-dependent. 

There are two types of dependents, "Qualifying Children"(QC) and standard ("Qualifying Relative" in IRS parlance even though they don't have to actually be related). There is no income limit for a QC but there is an age limit, student status, a relationship test and residence test.

A child of a taxpayer can still be a “Qualifying Child” (QC) dependent, regardless of his/her income, if:

1. He is under age 19, or under 24 if a full time student for at least 5 months of the year, or is totally & permanently disabled
2. He did not provide more than 1/2 his own support. Scholarships are excluded from the support calculation
3. He lived with the parent (including temporary absences such as away at school) for more than half the year

If she does qualify as a dependent under the QC rules, she would have to have less than $4300 of income to qualify under the qualifying relative rules. 

See full dependent rules at: https://turbotax.intuit.com/tax-tools/tax-tips/Family/Rules-for-Claiming-a-Dependent-on-Your-Tax-Return/INF12139.html