Oh my, I’m so sorry for your loss. Ideally, it’s always best to get a necropsy done right after a bird dies in hopes to determine cause of death. A necropsy is an animal autopsy. However, since it’s been a few weeks it’s out of the question as well as not always being a possibility due to one reason or another.
It would be alright to get another bird as long as certain precautions are taken. The surviving bird may have been exposed to or is carrying a disease or virus that could be detrimental to the new bird or vice versa. Therefor it’s important to keep them in separate rooms for a minimum of 30 days. This will give you time to observe both birds’ behavior and watch for some type of illness.
If you can put the new bird in a room where it can be heard by your current bird, it will most likely perk her up a little knowing another bird is on the premises. This will give them a chance to get acquainted from afar. When the quarantine period is complete, put the cages next to one another. Normally I would tell someone introducing two birds, to have a play stand or something neutral you can place between the two cages they can play together without the other one being protective of their things. However most likely they are not tame enough to do this. So, I suggest getting another cage that is large enough for both birds to live comfortably in. Make sure it’s wider and longer than it is tall. Alway have two feeding stations as well as two watering stations in the cage at all times. You want to make sure one bird is not dominant over the food and water. It’s not uncommon for birds to guard their food and water and not let the new cage mate eat or drink. So, it’s important to monitor them as close as you can to ensure both birds are getting enough to eat and drink.
Again, I’m so sorry for your loss and if you have additional questions, please don’t hesitate to reach out again.
Debbie