Once again, thanks for all the thoughts.
We installed the Gila "Heat Control window film." "Reduces Heat and Glare... Not your View" Titanium, on the South facing sliders to the deck, and on the skylight. That made a significant difference, in the family room. The problem is that it blocks some waves of the spectrum, such that it gives the room a little bit of an angry/cool blue tint. My daughter doesn't want to put the film on the living room bay windows, but would consider it if it was removeable.
Gila does make a slightly thicker film, they claim is removable and reusable, for double the price, and in a size that would insure a lot of waste for my size windows. Again, that would give the angry blue tint, that neither of us like.
During our 4 day 112 F heat wave, I hung a reflective tarp from the rain gutter. That looked real trashy, but I was more comfortable. My daughter was away for a couple of days, and I thought that she would have a *fit* when I showed her a picture, but to my surprise, she was OK. Then I left for a couple of days, and she had hung the tarp on the inside of the window. Not as effective, and not as trashy.
Gila makes a film installation kit. It is a spray on solution, that I guess increases static cling, a squeegee, and a trimming/cutting tool. I decided to use it, and a three dollar Mylar emergency blanket, to cover the lower 2/3 rds of three of the five panes of the bay window. That worked pretty well. The Mylar is really thin and wrinkled easily, so it is not a perfectly smooth installation as it would be with the Gila film. There is still plenty of light, much of it indirect, and it has the natural full spectrum... no blue tint. The top 1/3rd of the middle three panes is shaded by the overhang, and the two side panes are at an angle, and get more shade from the over hang because they are not as close to the outer edge as the center panes.
The shades hide the mylar from the inside, and with 50 foot set back from the road, a man on a fast horse, riding by, would never notice it from the outside. Come September, I'll peel that $3 Mylar blanket off, and throw it away.