The elephant just born at the Oregon Zoo to Rose-Tu belongs, not to the Zoo, but to a California elephant rental company called Have Trunk Will Travel, according to this report from the Seattle Times. Have Trunk Will Travel owns Tusko, the sire of the baby elephant, and contracted Tusko to the Zoo for breeding, with the Zoo to own the first, third, and fifth babies and the company to own the second, fourth, and sixth. A spokesman for the Zoo says that the baby elephant will stay at the Zoo, but under the contract that's not the Zoo's decision to make. Here's the contract.
The Zoo is running an election to give the baby elephant a name, at least while it's living at the Zoo. Whether her owner will agree to follow the election results hasn't been answered.