Qurbaani

Giving the qurbaani meat in sadaqah

Q: Please advise with regard to Qurbaani, it is compulsory upon four of us in the house. We usually slaughter one sheep at home and send the rest to a welfare organisations. The sheep we slaughter is usually done in our late fathers name. My question, would it be better to slaughter on my living mother's name because we consume the meat and send my late fathers share to a welfare organisation where meat will be distributed to people less fortunate. Is there any more reward doing it this way?