Are the Cruiser A13, Covenanter and Crusader tank tracks the same, most which look on the narrow side.
Sort of. The A13 had a standard track known as the DD(M) 3105(1). With the evolution of the Covenanter and Crusader a track with a lower ground pressure was required, which led to the MB 1173 track. However, this track could be (and was) fitted to the A13, while the DD(M) 3105(1) could be (and was) fitted to the Covenanter and Crusader. The MB 1173 track was in turn superseded by the wider TD 507 track in early 1942, this being followed by the TD 1762 track, which was basically a version of the TD 507 made from manganese steel instead of malleable cast iron. It is likely that these latter two tracks would also have fitted the A13, although by this time that tank was obsolescent.
Looking further into the A13 i noticed that the first type tracks were much different to the normal seen track which just look like joined plain plates with large spaced out finger guides that keep the road wheels slipping off. Were these just a prototype track for one or two tanks or were they used for a while on a few tanks in France and North Africa before the common style took over. The drive sprocket is also different in that it seems to have no teeth, i assume that there was a lot of slippage. I have seen a similar track layout on a Russian tank, looks like a direct copy.
This is the 10" Christie track that came over with the original Christie tank. It's the same basic design of track you will see on a T-34. You will find everything you need to know about the track development on this vehicle here.