Is the Sigma ES 430 ST compatible with my Nikon D60 or D7000?

Chuck, sorry for the late response. Last days I had to work through several hundred anonymous questions. Most irrelevant and not complete, so I could not answer most of them, but I had to read them all.
Sigma, does not have a service, where you can download a manual. But the manuals from Nikon, most of the time don't tell anything about how to use the lens.
I found a page with all specs. The link is down here.

I have to guess why you did put the question here in the first place. I think because you have a Nikon camera without a focus motor. Like a D3x00 or the D5x00 or a D40 or D60. (for the x you can add 0 1 2 or 3)
If you have one of these camera's the lens can't be used with auto focus You only can use the lens in manual focus. Most other camera's from Nikon, like D80 D90 D7000 D300 and more expensive, all do have a focus motor and can work with this lens in full automatic focus mode.

50mm F2 8 EX DG Macro

It is a manual focus lens. That is for sure. The D7000 only can meter, when a lens is fitted with a chip. Usually the Nikon AF lenses. (other brands like Sigma that are compatible) To my knowledge the Vivitar is not. You only can use this lens in Aperture-priority and manual exposure. See a discussion on Nikon forum about this lens, that is capable of shooting brilliant pictures.
Link to Nikon cafe forum about Vivitar 85 mm

Could you be a little more specific about "does not work"? Does the lens not fit? Can you not view through the lens when it's attached? Does it not autofocus? Does it not meter the exposure properly?

Yes, the lens is compatible with the D60, with one proviso. The D60 lacks an autofocus motor, relying on the lens to have one. This lens does not, so the autofocus feature will not work. Other than that, everything else will work.

It depends on the lens mount. Sigma makes varieties of their lenses for different camera mounts. A lens with a Canon mount will be compatible with any current Canon camera. A lens with a Nikon mount will be compatible with a Nikon camera. Any one lens can fit one but not the other.

Assuming the lens has a Nikon mount, then it will fit and work on the D60. Sigma makes lenses for a variety of cameras; a lens with a Canon mount, for example, will not fit onto a Nikon camera. However, the 70-210 is a rather old lens. Unless it specifies "HSM" it will not autofocus on the D60. The D60 does not have an autofocus motor, relying on the lens to have one. Nikon calls such lenses "AF-S" while Sigma designates theirs "HSM".

this flash is not compatible with the d200. i had one and sent it back to sigma, they upgraded the software in the flash for free. now it works in all modes, it needs to be iTTL to work on the nikon d200 the NAd version is not iTTL.

This Sigma flash is not Ittl compatible. The D300 and D200 Nikon must have Ittl compatible flash to operate in any of the Automatic modes. It is a great flash but will not work on those two cameras.

Yes and no. Assuming you get the version with the Nikon mount, it will fit on the D60 and the exposure metering will work fine. However, as it's not an HSM lens, lacking a focus meter, it will not autofocus on the D60.

Hi I had a similar problem with a 50mm prime and I fixed it by locking the aperture ring on the lens in place.