You should be able to trace the pipes going from your boiler to find your pump.(That may need bleeding)
Problem is that not all systems are the same. Some have a pump just for CH side. Some have a pump followed by a electrically operated 'diverter valve', the valve can be in any of 3 positions ie 'central heating' 'hot water' or 'mid way'
Obviously the 'mid way' means the hot water is shared between the CH and HW.If you have such a valve it may be sticking and restricting the flow to the CH side.
You mentioned a hot water tank which is a little misleading. What you have is a 'hot water cylinder' probablely insulated. A pipe from the boiler goes into this and another one returns to boiler.
When you turn on a hot tap, water comes out of the top of this cylinder, because cold water goes in at the bottom, this cold water comes from a cold water tank (cistern) which is always higher than the cylinder, usually in the attic.
You do need to trace pipe work to establish exactly what is there.
You will appreciate locating the source of the problem is most difficult from afar, based on such little information.
I'm not suggesting I could solve it if I was there, but the chances would be a lot higher. If there is a pump and a valve I would find them.
Hopefully you'll get other advice.