Can I change my sister’s name to my husband’s with Islamic approval and my father’s consent?

I am a married woman and currently my husband and I work overseas. I have a younger sister who is 13 years. I will like for her to come and stay with me so she can continue her education. And currently it is my husband who is taking care of all her bills in school. The problem is the company in which my husband works has an educational support policy for kids and since we will therefore like my sister to benefit from the policy. But my sister name has to be in my husband’s name as if he is the father. I therefore ask for permission from my dad to change my sister’s name into my husband’s name so now all her documents will be in my husband’s name as the father. I will like to know if it is wrong or haram Islamically given the circumstance under which I have to change my sister’s name. Even though my dad has consented to it.