AND Gate Attempt

So, after designing a NOT Gate, I thought it'd be fun trying other gates, so this next attempt is for an AND Gate. AND Gates are only on if both inputs are on. This gave me the idea of using one of the transistors as a switch, and using that output to drive the base of the second transistor.

It does work. If either input is grounded the output is low. There is a problem though. Unless input 2 is actually grounded it gives a high result. TTL inputs are natural high though, but it is the inconsistency I am concerned about. Sure, this circuit works, but it isn't the best it could be. There's no doubt another way I could design this that would work exactly to my expectations. 


EDIT: This circuit was drawn incorrectly. Instead of ground, the emitter of Q1 should be connected to Vs. I will redraw this circuit at some point.