No, you shouldn't. Your muscles need time to repair and heal. When you take this recovery time is when muscles grow and build strength as they try to overcompensate for the microscopic tears you made during your training session. This can take up to 3-4 days or even a week. You may be able to get away with training again with minimal soreness but it's always better to allow recovery time until they are relatively, fully healed.
If you are new to weight/resistance training, it'd probably be better to start off only training 2 days a week. As your body becomes more conditioned, you won't be affected by DOMS as severely.
Take your focus off the Marshmallow. www.leangains.com/2010/01/marshmallo
"Toning" is marketing muscles to women who are afraid if they pick up a barbell, they'll leave the gym looking like She-Hulk. If you don't want to get bulky, lift heavy!
I can bench Nicole Richie, eat more than she does in a day before noon, I have a good 20 lbs on her but could still wear her pants.
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