Over going-
1. To travel over. [R.] --Shak.
2. To exceed; to surpass. [Obs.] --Sir P. Sidney.
3. To cover. [Obs.] --Chapman.
4. To oppress; to weigh down. [Obs.] --Shak.
Under-going-
1. To pass through; experience: a house that is undergoing renovations.
2. To endure; suffer: undergo great hardship.
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I'm not sure if that's what you're looking for. I'm sure you ment something deeper, however, it's the most I can do.
