Victrylite - in 1943 made candles for the Catholic church - after WW II the company expanded products,  by 1950's
Victrylite ranked in the top 3 candle manufacturers in United States -- in 1968 it was purchased by Lenox

guessing these are 40 -50 years old - maybe older

odorless, dripless, smokeless
tall 14,5 inches
guessing the magic base is because listed at the bottom is:  "press down and turn"  -- couldn't find anything on this