Flea beetle, I'd guess. You can look up ways to deal with them, but if you're trying to stay organic, there aren't that many options at this point.

Releasing beneficial nematodes to destroy the larvae when they are in the soil is one, but there is timing involved, so do the research on that for your area.

You often see dusting the plants with diatomaceous earth as an option. Diatomaceous earth doesn't differentiate between pests and beneficials, though, so if your strategy involves beneficials, that's something to think about.

Trap crops are another option. I don't really get them on my tomatoes because they love eggplant much more. I've heard flea beetles like radishes and other brassicas even more, but that doesn't seem to be the case in my garden. They do some minor damage, but they seem to love the eggplants the best.

This year, I interplanted flowering plants in my veggie garden that produce clusters of small, open flowers and let some of my herbs go to flower, as these types of flowers attract beneficial predators that parasitize the beetles. I've seen a surprisingly low level of flea beetle damage this year. Even my eggplants only have a few holes here and there from flea beetles, and whereas last year brushing the eggplants would produce a frenzy of hopping beetles, I only see the occasional flea beetle now.

Unless infestation is severe enough to result in extensive damage to foliage, I generally look at the damage as cosmetic and just accept that it happens. Young plants are a different story, as they can be overwhelmed by a bad infestation, which is why I wait until eggplants are fairly large and robust before planting them out.

Thank you so much gorbelly for that very detailed, thorough & helpful reply. We planted small to medium size plants about the 1st week in June. The plants are not huge yet, but very sturdy & have gotten larger of course (especially the two Juliet plants). Someone mentioned buying ladybugs. The marks don't seem to be affecting the strength of the plant. They all look healthy other than the marks. All getting flowers now & seeing bees & butterflies in the garden.

If being organic/limiting effects on other insects isn't important to you, there are insecticide dusts that are effective on them when you dust the leaves and the ground underneath. I personally don't like to go this route, but everyone has their own decision making process.

Re: ladybugs-- there are some issues with buying them. Also, I don't think the chances of them staying in a small home garden are very good. It's best to let the local ones find you.