It's a bit of a loaded question. In the literal sense, only humans deserve human rights. Other species, even fairly intelligent ones simply do not seemingly possess those same traits that lead to the creation of the very concept of a right. Should one find another species that possesses similar attributes in terms of intelligence then one can extend rights to them as well, but it could no longer simply be called human rights.
As a side note, since human rights vary so wildly from culture to culture, whose model of rights are we going to use for the question?