Hi Amelia's Mummy,
My DD started teething around 2mnths and we got a teething gel from the Women's & Children's Hospital here in Adelaide (not sure where u live??) that numbs her gums and works so well she doesnt need panadol to sleep.
I also bought a Gummi Dummy, (made by Happy Baby i think...?) and use it to put the teething gel on her gums although i have found that if she wants to chew on it i have to hold it for her as she is a bit young (still) to hold it to her mouth herself. I also have teething rings i keep in thr fridge which she is learning to chew on and putting her dummy in the freezer too.
Panadol is great for tiny babies. My advice would just be to try and not give it to her one night and see how she goes as the last thing you want is for DD to be addicted to panadol. And yes, it can happen. But saying this, follow your instincts and if you think your bubs needs it then give it to her. Go see your GP if you have concerns about the panadol part or ask the Chemist.
Hope it goes ok. Good luck!
DD#1 - 3.7yrs, DD#2 -20mnths, DD#3 is here! 21.08.