Birds don't usually mate with their parents although father birds do sometimes mate with their daughter in law birds.
Most birds do not recognize their family members after their first year.
There are exceptions to this, especially among social birds such as cranes, crows, and jays.
Canada Geese also remember their parents, and may even rejoin their parents and siblings during winter and on migration.
The bird that dies when it's companion dies is the Baya Weaver Bird.
The baya weaver is a weaverbird found across the Indian Subcontinent and Southeast Asia.
Flocks of these birds are found in grasslands, cultivated areas, scrub and secondary growth and they are best known for their hanging retort shaped nests woven from leaves
Birds do mourn the loss of their mate.
Parrots, ducks, pigeons, and penguins are some of the birds that mourn the loss of their mates.
Losing a mate is one of the main reasons birds might become depressed; birds who have lost a mate will often refuse to eat or pluck their feathers.
Other signs of birds grieving include changes in behavior like loss of appetite, unusual aggression, feather plucking and a change in sleeping habits.
Any unusual behavior after a loss can be a clear sign that your budgie is grieving so it is important to keep a close eye on them for the first few weeks.
Birds certainly possess the capacity to mourn—they have the same brain areas, hormones, and neurotransmitters as we do, “so they too can feel what we feel."
In the wild just as in the aviary, parakeets form close relationships with other birds.
After a death, many parakeets will mourn their loss.
Symptoms of mourning include calling for the lost bird, searching the cage for the bird, and loss of appetite.
However, they may accept a replacement.
Birds have been documented as obviously looking for a lost mate or chick, however, and listless behaviors and drooped postures are common indicators of grieving birds.
Some grieving birds may make piteous cries, perhaps hoping that a lost mate or companion might respond.