AI is most strongly guessing stink bug. Do you have those?

Yes, I also got stink bugs. Moths and green lacewings are other possibilities.

Sounds like I should get out the vacuum...

Green lacewings are benefitial insects, and their eggs are fairly distictive. The eggs are individual and at the end of a short hairlike structure, rather than being glued to the surface and together.

I live in a different area and cannot really help with the photo egg id though.

Daddy long legs (Eastern Harvestman …..)

LINK https://www.sciencephoto.com/media/707971/view/daddy-long-legs-spider-with-eggs

LINK: https://en.wikipedia.org/wiki/Leiobunum_vittatum

I discovered these eggs on my screen door last week, and this time the owner was there. got a good photo of the female and did an image search to find out the spider’s identity.

Very convenient for these arachnids to have the screen as a matrix.

Below are my two photos of the spider laying eggs on my screen.

NOTE: These Are beneficial insects. Please put the vacuum cleaner down.

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I would be curious and also not want them in my house. I think I would remove the screen and put it outside until they hatch and just keep the window closed.

Don't vacuum them! If you do, they'll hatch inside your vacuum and be all over the house.