If you squint at the Sun on a bright day you'll be seeing the light and feeling the warmth of it from eight minutes ago.
Since the apparent movement of the Sun is actually the movement of the World turning we can point at the Sun. If the Sun was moving around the World then we'd be pointing at the place that the Sun WAS eight minutes ago.
Okay, how can we know how far more distant stars and even galaxies are? For the closest ones we can use parallax.
If we take a picture of part of the night sky in June and map that on to a picture of that same part of the sky in December, very close stars will seem to move compared to distant stars.
It's like if your nose was our Sun, the Jnne picture was your left eye, the December picture was your right eye. If you hold up your finger to represent a close star and 'wink' back and forth, your finger seems to move relative to objects on the wall.
Astronomers can calculate how near close stars are by knowing the distance between the summer and winter pictures and how far the close star seems to shift compared to far background stars.
But the point I'm trying to make is that, just like the light from the Sun is eight minutes old when we see it, the light from a close star is a few years old when we see THAT!
If we're talking about the closest star, we're talking FOUR YEARS ago. We can't say that Alpha Centauri is four light-years away, we can only say that Alpha Centauri WAS four light-years away, four years ago!
So here's where I start scratching my head. If astronomers are acurately telling us that the light that comes from the farthest galaxies is about 13 billion years old then THAT doesn't tell us where they ARE NOW, it tells us where they were THEN!
I think that speeding galaxies might have 'moved' a bit in 13 billion years, don't you?