Confederate Currency

So I found 2 notes that a reputable dealer had listed for sale... 30 day return... shot them a quick offer, which was accepted, purchased, and shipped yesterday morning. There is a chance that they will be here as soon as Friday...

I did post rather than pre purchase research, and I question the authenticity a bit... 

The seller thinks he sees serial number 110369 on the September 2, 1861 T-20 $20, but doesn't see any serial number for the April 6, 1863 T-59 $10

Things that make me go hmmmm....

...No serial number on the T-59
...The edges look pretty straight cut, but do infringe of its boarder and in 1 case the boarder of the note that would have been next to it.
...The actual signatures, to me, seem off... but seems inked properly...

Thoughts?

Thank you!!
Jeff