Way too many lights, Mark. I had originally used two lights, but switched to a single light and reflectors and gobos as needed to modify the lighting. It looks like you first need to get the white balance right and there are various targets to do that. Here are a couple that I use. My favorite is the one on the right. If you shoot JPG then you will need to do an in-camera white balance. If yo shoot RAW then you can do it in post processing, but in either case you need to take a white balance shot at the beginning of the shoot.
View attachment 20334
The card on the right is a WhiBal card and the one on the left is an x-rite passport which also is used to create custom camera color profiles, but for all practical purposes, especially showing on the web, that is way overkill. For I use it for a color-managed workflow that enables me to get high quality color printing (in other words, I spend more on photography than on woodturning
😀). You can also use a sheet of plain white Xerox copier paper, but do not use the high quality bright white ink-jet paper because it has UV brighteners that you camera sensor responds to differently than your eyes do.
Here is a shot of a turning using a single light shooting through an umbrella and a white reflector on the other side of the turning. I use a graduated background (Flotone Thunder Gray available from B&H and other places). My Yarn Bowl image in the gallery was also shot with this same set-up yesterday. Pay no attention to the finial. I stuck it on this lidded dish as a joke and took it to a club meeting where we had a challenge to turn something with a four inch finial. The lid actually has a small knob about an inch tall.
View attachment 20335
Also, don't pay any attention to the color temperature marked on a bulb. They are ballpark numbers and continually change as the bulb ages no matter if it is tungsten, CFL, LED, or a birthday cake with seventy candles.
😀 That's why you really need to use the white balance card to get a true white balance.
I will try to remember to get a shot of the set-up that I am using. It's really simple with everything sitting on the floor. Anyway, I think that a single light is sufficient to give good lighting. You will need a tripod if you aren't already using one because the exposure time will typically range from one to five seconds long unless yo have some really powerful lights. I am using a 500 Watt tungsten light here, 4800K nominal color temperature and the exposure time is 1.6 seconds. Stop down to about f/11 or so to get a decent depth of field and use a long lens if you have it. I am using a focal length of 148 mm for the above image. I have the camera about ten feet from the piece and elevated about three feet.
The reason for the bright light ring at the bottom is that you have a light aimed so that light is bouncing between the underside of the bowl and the background material. When your color balance is set up correctly, the color of the shadow beneath the turning will be influenced by the color of the wood. Same thing applies if you use a colored background material ... it will distort the color of the wood on the underside of your turning. That is why you background out to be neutral (neutral in photography means has no color bias ... it is purely shades of gray ranging from black to white).
Just my preference, but the textured background may give you granular looking shadows and possibly be too reflective. I would go for a smooth background. If the background is too "interesting" people might look at it more than the turnings.
One more thing, use the lowest ISO setting on your camera which is usually 100.