Contributions to Roth IRA by Depdendent Child

Hello Tax Experts,

 

My daughters (age 18) is working part time in addition to her school.  I am encouraging her to contribute (say even $100) to Roth IRA.  Here are my questions and would really appreciate if you could please help:

 

1. Can I claim her as my dependent while filing my taxes while she files her taxes as individual filer without claiming any deductions (she would say - some one else is claiming me as dependent)?

2.  Can she contribute part of his earnings to Roth IRA.

 

Thank you.