Race Comment Explainer

Original comment with matches highlighted:

in rear, untidy 4th, pushed along and ay from ast, neve, late from last, never on terms

Matched phrases & meanings

Phrase	Meaning
never on terms	A clear statement that the horse was never competitive in the race.
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
home turn	This is the final bend or corner of the track, just before the horses enter the final straight run to the finish line.
Outpaced	Could not keep up with faster horses mid-race.
Headway	The horse was moving up through the field.
Rear	Running near the back of the field.

Summary

A clear statement that the horse was never competitive in the race.
The jockey started to urge the horse (hand-riding, not necessarily using the whip).
This is the final bend or corner of the track, just before the horses enter the final straight run to the finish line.
Could not keep up with faster horses mid-race.
The horse was moving up through the field.
Running near the back of the field.