Stripping and waxing

Naked: The handsome Edo Rocking Chair by Thos. Moser
Ahah!
Now someone would like to know how to stain and finish some furniture, rather than paint.
Well I say....
If you are going to strip paint off, then BioPaints also do a stain and clear finish.
But you could also think about what to do after you have stripped the paint back. The timber might already be a lovely color in which case you can skip the stain. If you want to stain, there are more natural alternatives...like black coffee!!
Then.. do you really need to varnish? You might consider leaving the timber raw.. it has a lovely feel and a bed doesn't get the same workout as, say, a floor or a chair... the parts usually in contact are covered by a mattress!
or what we did on a beautiful 150 year old kauri pine floor, was to sand it, apply a polish made of equal parts of boiled linseed oil (you buy it boiled), turps and vinegar, and then wax it. The result was beautiful and hardwearing.

So my suggestion..
1.Sand back the furniture (do it outside and wear a dusk mask!!)
2. Rub down the wood with turps to clean it up.
3. mix in an old jar equal parts turps, boiled linseed oil and white vinegar, (no need to heat, just put on the lid and shake vigourously) You can also add essential oil for extra yummy smells eg eucalyptus, lemon or lavender.
4. Rub this runny stuff into the furniature. It may make the timber darker. Let it soak in. Do a couple of coats for best effect.
5.The next day you can finish it off with a natural beeswax furniature polish... you can still get it in some shops or on-line or make your own: in an old metal pot break up some natural beeswax, if you want a harder polish add a small portion of Carnauba Wax, say 1 part to 15, pour pure (not mineral) turpentine over the top to cover , then put the whole pot in another pot of water on the stove(ie. make a double boiler). Mix it all together as it melts. Should be the consistency of unrefrigerated butter. Vary the turps to make the consistency.
6. Rub the beeswax polish on and then get a workout by buffing it by hand or find your gandma's old floor polisher to do the big bits!