I have a small nest in my garden bed tall grass in my front yard that looks just like this with 6 ggs. I am in Louisville Ky. I was cutting the grass back when I saw it. I stopped and tried to move some of the remaining grass back around it. I'm concerned because it's in direct sunlight for most of the day. Will the bird come back to sit on it???

I haven't seen any turkey vultures with white on the head. The description sounds like a crested caracara; if so, that is probably a first state record for NH, since their normal range is south Florida and south Texas. A bird that is much more likely to be in New Hampshire is osprey, a fish-eating eagle. It doesn't have any red on it normally, however. Could the red be blood? Neither bird should be just walking or sitting on the beach for hours. This makes me suspect you are looking at an injured osprey. If you can ascertain that this is the case, it would be good to find a wildlife rehabber who could capture and rehab the bird.

It's a bit hard to tell from the picture (I'm not getting much color, it could be my monitor), but if the legs were yellow, it could be a green heron. They are one of my favorite water birds :)

Your username indicates you are in Iowa; is that where you saw this bird? It does resemble a 1st-year male Orchard Oriole.