I don't know if this is helpful or not... But my daughter, now 18 months, does also love to put just about anything in her mouth. However, this has tapered off some, and of course she does play w/things, doesn't NEED to have something in her mouth. (My dau never used a pacifier, either - at all.) She went through a period of loving to have an apple to carry around, she would just rip off tiny pieces of skin and drop them on the floor - she LOVED this for over a month. She never would take any of those cool rings, or anything meant for teething at all. She has only 7 total teeth now, so much of this time she wasn't really teething. Does this little girl want something to eat? Would she enjoy something to "do" with her mouth like the apple thing? Does she use a pacifier? What do the parents do at home?
Sounds like you have a perfect life from your "little bit about me" writeup! Good luck!
T.