Consciousness is related on 6 sense bases. If information that go through yours 6 senses is exactly the same than information that go through your's neighbour 6 senses, so technically, only in this situation we can say that there is the same consciousness. As i understand this situation is quite impossible, because even if eye, ear, nose, tangue, tuch were the same, mind will be different.
As concerning "transfering of being from one live to another" it is said in one sutta that there is some kind of being (ganghabba if i dont mistake) who's mission is to do this transfer . But we can not verify, only speculate, and it's don't really metter, IMHO.
Edit: if this post is not conform to Abhidhamma sub-forum, please delete it. Sorry.