[DannyTN]

But again, if the univese was once small (whatever that means), then the inflation + the speed of the galaxy through space must be near the speed of light, for earth to be in the position to receive light from 13.0 billion years ago.

[Telepathic Intruder]

You're still going off a misconception. Again, the galaxy is not speeding through space. Space is expanding between the galaxies, increasing their distance from one another. And the Big Bang didn't occur at any particular point in space; it occurred everywhere in space because space is a result of the Big Bang. The light from near the beginning of the universe is still in every part of space, but having come from a certain distance depending on how long ago it occurred. For something 13 billion years ago, it occurred 13 billion light years away from our perspective, taking into account the expansion rate of space. But the light from then is very dim now and is difficult to detect, having gone 13 billion light years distance.

By the way, you do know that a light year is how far light travels in one year?