Here's another one where I use a Bisector line like Bemfarmer mentions, to get an "even bevel" between the 2 frames. I'm not sure if I grabed the proper bisector in this case, using the top frame and the bottom frames edges for the dividing line.



I will watch for some of the others to chime in.

""""""""In the first "chink" part, I just get the edges of the top and bottom piece and loft and planar a little solid to fill the gap""""""""

I see for the chink part, you would want to extrude the 2 surfaces up and down and boolean them in, then cut them with the bisector line also.