Oh yes, I understand perfectly well. Unless your first message is worded incorrectly.
I summarize. Your sister has got a Samsung Galaxy phone, and therefore cannot send or receive iMessage. When you send a message to her, it is sent as a normal green SMS, its fine. But when you send messages inside your family group, it sends iMessages to everyone, including your sister. But because she uses a Samsung, she doesn't receive them.
The solution (may be) to deregister her phone number from iMessages via the link I wrote in my first reply. Solution number two (may be) to remove your sister from the group - AND add her again, in order to register that your sister should NOT receive the message as iMessages.