Yes, this is possible. As individual breeders breed better and better birds they become more expensive to buy at private sales or auctions. To be able to afford to buy some of these top class birds some people form syndicates. The offspring from these birds are then shown under the syndicated name eg. Church and O'Rielly or The Jones Family etc.

Non syndicated birds are shown under the individual breeders name (e.g. I show under my own name)