Moisten a paper towel with hydrogen peroxide.
Place the moistened paper towel on the saliva stain.
Secure it to the furniture with cling plastic wrap.
Place a white, folded towel over the plastic wrap so that the paper towel is completely covered. Hydrogen peroxide decomposes when exposed to light, becoming plain old water.
Leave the towel in place for five minutes.
Remove the towel, cling wrap and paper towel.
Scrub the area in the direction of the wood's grain with a fresh towel moistened with hydrogen peroxide.
Wash the area with soapy water.
Dry the area with a towel.
Repeat the application of hydrogen peroxide if necessary, then polish the wood.