Taoism (The Way) is actually a Philosophy rather than a religion. It is based on the teachings of Lao Tzu, an ancient Chinese Imperial government official who lived around 604 to 531 BCE. He wrote the Tao-Te-Ching (a.k.a. Daodejing), which is the essence of his understanding to benefit future generations. There are no "stories" in this work and therefore no "common" names included. Tao (the Way) "refers to a power which envelops, surrounds and flows through all things, living and non-living. The Tao regulates natural processes and nourishes balance in the Universe. It embodies the harmony of opposites (i.e. there would be no love without hate, no light without dark, no male without female.)"
Taoism started as a combination of psychology and philosophy but unfortunately, evolved into a religious faith in 440 BCE when it was adopted as a state religion. At that time Lao-Tzu became popularly venerated as a deity.
To understand the "True Tao" philosophy as practiced on a daily basis, I recommend you reading the Tao of Pooh & The TE of Piglet.
As for Confucianism, I am not that familiar with it to give you a good answer.