Yes, take your temperature immediately on becoming conscious of being awake -- before laying in bed and definitely before FMU. Try to wake at the same time each day. In most cases, it is better to chart with your natural waking time rather than adjusting temperatures in FF to the same waking time.
If you can, even take your temperature in the same way each time, same location in the mouth (for me it's the left side under the tongue, so far back it's almost painful, mouth shut like a vise, seal the tongue around it and breathe through the nose). The margin of error on those things are really quite big unless you control for everything. =)
Even with controlling how you take your temperature you wouldn't see that amount of variation you are charting, so unless you are correcting the temps in some way, clearly something is going on with your temperature regulation. As you've already had a child, you know that this isn't something that necessarily prevents you from getting pregnant. =) But it can be an indicator of other problems, as the chemicals that regulate temperature can have an effect on many, many other processes in the body. This may just be the way your body works. The important thing is how stable they are in the luteal phase, as your BBT should be much more controlled by progesterone then.
You should chart for a few months to understand your own cycle, which is the most important thing, before making any judgments. A specific temperature pattern or levels do not indicate a fertile cycle on their own.
By the way -- 94.6 on its own would be considered hypothermic, but of greater concern is how much your temp drops as the body will have it's own thresholds for hypothermic symptoms. I would ask your doctor if you are concerned about your temps being so low, especially if they are associated with feeling poorly.