You may be able to claim them as dependents under the Qualifying Relative rules if they meet all the requirements under the rules.

To be a Qualifying Relative -

1. The person cannot be your qualifying child or the qualifying child of any other taxpayer. A child is not the qualifying child of any other taxpayer if the child's parent (or any other person for whom the child is defined as a qualifying child) is not required to file an income tax return or files an income tax return only to get a refund on income tax withheld.
2. The person either (a) must be related to you or (b) must live with you all year as a member of your household.
3. The person's gross income for the year must be less than $4,200 (social security does not count) in 2019
4. You must provide more than half of the person's total support for the year.
5. The person must be a U.S. citizen or a U.S., Canada, or Mexico resident for some part of the year.
6. The person must not file a joint return with their spouse.

How do I enter into Turbo Tax that my Niece  is in  Mexico and I send money to support her? 

Just sending money does not qualify her as your dependent, unless all of the requirements listed are met.  You would then just claim her as a dependent. You do not get to deduct the amount you sent.