383 won't start. It cranks, I have spark & fuel - could it be the battery?

I'm new to this forum - maybe someone can help me out?
I have had problems getting my 67 Cuda to start cold in the past, but now it won't start at all. I thought I fixed the problem once when I adjusted the choke, and she started, but now I can't get her to start at all.
The engine cranks, I have spark, I have fuel - but I was wondering if it could be the battery?
Here's why I am thinking this: She sat all winter and I thought I would try to get her going, but the battery was almost dead - she cranked for about 30 seconds and then just click, click, click, from a dead/low battery. I charged the battery overnight, and tried again this morning. I tried cranking on & off for about 10 minutes total while I tried adjusting the carb, choke, etc. and the battery was dead already! It only lasted about 10 minutes!
So here's my question: Even though the battery (when charged) has enough power to turn the engine (with seemingly enough power), could a battery that is old (not enough cold cranking amps) be my problem?
383 with an Edelbrock 4-barrel carb with electric choke.
Any advice is appreciated...

Did you check the plugs for fouling? 10 minutes of crank it should have fired with fuel and spark.
Corroded bulkhead connections can be an intermittent problem.

I do not think it is the battery , but check the juice level in it. check a plug or 2, fresh gas, try starting fluid? if everything is good it should start in 5-10 seconds of cranking. have the battery charger on when U are cranking it and play with pumping it and throttle opening

CHECK your ICM.
Resistor

I have had instances where a low battery will not start the car but it will turn over. My car and truck sit for long periods so I have to crank the crap out of them to get fuel to fill the bowl, even when the filter is full it still takes time. You have electric choke so it may not be working to its full potential with a weak battery. Is the spark strong, like a nice bright blue? Battery could just be toast, I've had that issue too.

BIG-B-Barracuda said:

CHECK your ICM.
Resistor

Click to expand...

This 67 model wouldn't have a ICM unless it has been changed from the original basic points ignition. The ballast resistor effects run circuit but should not effect start circuit.

YEAH 67'

but it didnt sound stock to me.

put a new battery in it, turn switch to on, jump starter solinoid with button, spary starter fuild in carb with blades open, close blades, hit button.