If I claim my daughter on my taxes, can I claim her 1098-T that is in her name even though I am the one who paid her tuition? Thanks.

Generally, you can claim the tuition and fees deduction if all three of the following requirements are met.
1. You pay qualified education expenses of higher education.
2. You pay the education expenses for an eligible student.
3. The eligible student is yourself, your spouse, or your dependent for whom you claim an exemption on your tax return.

You can't claim deduction if you are filing a separate return.