An Axminster lathe will probably have been made by SEIG; a WARCO by a different manufacturer, so is likely to be different, in dimensions, if not construction.
All that we know is that you have an Axmister lathe with a problem, probably in the drive to the saddle.
The picture does not show a “brass” component with a problem with the facing feed, but with the sliding drive; along the bed. A crash when facing, may well have damaged the drive to the saddle rather than to the Cross Feed.
A power Cross Feed suggests one of the more sophisticated models. If you want help, you must give as much detail as possible.
The problem MIGHT be caused by by a feed rate that varies because of a bent shaft.
Knowing the Model Number will make life easier, since the parts list / diagrams in the Operator Manual will show how the Saddle is driven along the lathe bed, rather than relying on guesswork.
Even if you do not have the operator manual with this information, some one else may have, and will be able to provide the detailed information that is required to address your problem.
Once you have the information, only then can you start to strip the machine in investigate the cause of the problem.
It may be possible to press a bent shaft, between Vee blocks, until it is straight; but this might well require lots of care and iterations to get it within 0.0005″ (0.0125 mm) T I R.
Possibly, the quickest , and easiest for you, will be be buy and fit new parts; once you have found where the damage is.
Afterwards, it will be worth making a shearpin to, replace what is probably a rollpin in the drive to the feedshaft (if it has one) or the leadscrew (Which night drive the Saddle traverse pinion via a key way in the Leadscrew). Make it from brass, (Mine are 5 mm dia with a 2.5 mm hole drilled down the centre, and they are probably a little too strong)
Consulting the parts list / diagram will probably simplify working out what the problem is, and how to cure it.
Howard