I did a quick calculation and an overhead object at 250 Km altitude would only be illuminated by the sun if the sun is not more than 15º below the horizon which depending on different factors can be more or less time after sunset but not several hours unless you are way up north or south. My point is that if you live in a civilized place and you see something moving across the sky in the middle of the night chances are it is not a low orbit satelite.
The Heavens Above web site is the place to go for seeing satellites.
Here in Texas, the ISS will pass over on April 5 at 9:45pm. Sunset on that day will be at 7:48pm, so that’s two hours. On July 11, it will be visible at 10:49pm. Sunset is at 8:37pm.
If you’re farther North (due North of me at 40 degrees latitude), it will be visible on July 10 at 11:59pm. Sunset is at 8:56pm.
And satellites that fly higher, such as Iridium, can be seen much later.
4) Right now, there are 4 bright planets visible in the evening sky, including Venus, which is often mistaken for something it’s not (an airplane, a UFO, etc.)
Five, yesterday and the day before- including Mercury; a Full House.