Chord names and possible program/page

Is there a page or something that lists the various chord names and possible shapes? I discovered one that makes a very pretty and mellowish sound, but have no clue as to what it could be (probably something with an AddX).

In the interim, what on earth would these two be called?

1)
E----0--------
B----0--------
G----2--------
D----3--------
A----3--------
E----0--------

and

2)
E----0--------
B----0--------
G----4--------
D----5--------
A----5--------
E----0--------

Basically, they're moveable F Barre chord shapes, only without the barre. I haven't seen anything that resembles it at all in my chord books, and I'm not versed enough with theory to pick them apart myself and name them. Any ideas?