Yes. Since your children are under the age of 13 and you are paying expenses for their care, you will qualify for the credit as long as you meet all of the requirements. Additionally, your grandmother would need to fill out the W-10 form or she can prepare a letter that identifies her name, address, and taxpayer identification number. Please refer to page 9 of Pub 503 under the headings, "care provider identification test", "information needed", and "getting the information", for additional clarification. https://www.irs.gov/pub/irs-pdf/p503.pdf
Please refer to the following Turbo Tax FAQs to determine if you meet all of the requirements to claim this credit. https://ttlc.intuit.com/replies/3301418 https://ttlc.intuit.com/replies/4483662
Please refer to the following Turbo Tax FAQ for instructions on how to enter this information into Turbo Tax, in order to claim the credit. https://ttlc.intuit.com/replies/4395614
