1.  lovebird(n = noun.animal) budgereegah, budgerigar, budgerygah, budgie, grass parakeet, melopsittacus undulatus, shell parakeet - small Australian parakeet usually light green with black and yellow markings in the wild but bred in many colors;
is a kind of parakeet, paraquet, paroquet, parrakeet, parroket, parroquet
is a member of genus melopsittacus, melopsittacus

2.  lovebird(n = noun.animal) - small African parrot noted for showing affection for their mates;
is a kind of parrot
is a member of agapornis, genus agapornis

1.  A small Australian parakeet (Melopsittacus undulatus) usually light green with black and yellow markings in the wild but bred in many colors; also called the budgie. [WordNet 1.5]

2.  small African parrot noted for showing affection for their mates. [WordNet 1.5]