Validity of combined qurbaani

suppose we bought a Cow for qurbani. My brother in law also bought a cow for qurbani and my neighbour also bought a Cow for qurbani. Now after the slaughter the three share has to be done. One for yourself, one for the poor and one for the neighbour. So this will be done on all the cows bought by each one of the above. Now my relative is my brother in law and vice versa, so he is giving me meat and I am giving him meat. Likewise my neighbour is giving me meat and I am giving my neighbour meat.
The question is some one said those who do qurbani, they should not give the meat to other person who has done qurbani also, but the meat should be given to the poor and needy and relatives who has not done qurbani. Is this correct or we can give to the poor relatives and needy person and also to the person who has done qurbani. What is correct.