I believe it is a design associated with the Georgian style. I don't know if the glass pattern has a style name, but it contains oval and diamond shapes, possibly with beveled glass.

Here is a link that might be useful: image link

Eliza, oh my gosh, that looks so similar to sidelights in my neighborhood in Rochester, NY! Are you close to us?

Vicki

Vicki,
I'm in north central jersey. I think this style goes back to the late 18th, early 19th century, but was probably reproduced in later houses, too. Some of the later ones are beveled, while the earlier ones I've seen are not beveled.

Are the ones you've seen mostly on older houses?

Mostly built in the early 20s. Lots of houses in the Browncroft neighborhood in Rochester have similar sidelights.