Ruthie,
The birds you mentioned are fine to have in the same room, but they do not preen one another under most circumstances. Whereas Quaker Parakeets are very touchy feely kind of parrot. Personally we have mixed quakers with all the ones I mentioned….another very good choice would be a Green Cheeked or Maroon Bellied Conure as they are not too noisy (quakers can be sometimes) and are affectionate. Getting an opposite gender bird—- if yours is a hen, then a male would suffice—-is a good way to go. They may get a bit sexual if they learn to like each other, but that is usually easily dealt with in a home. The need for counsel comes in in the way one goes about introducing the two parrots.