The battery may have two amp hour capacity - but the tool load current could be anything, lower or (more probably) higher than 2A.
How long does (or did) it work continuously for, at full load, on a single charge? That should give an approximation of the load current to base things on..
As another approach - 14.4V implies a 12 cell NiCd battery pack.
That has a voltage range almost 18V immediately off charge down to 12V dead flat.
It would cost roughly £14 for four, good quality 2.5AH 18650 lithium cells - which would likely work OK & may even fit in holders in the original casing? They give a voltage range well within the original NiCD range, so should be totally compatible.
eg.
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You would need either a separate cell charger and remove them from the holder, or build them in (using cells with solder tags), with a four cell protection & balance board, then use a suitable external four cell charger.
Example BMS with balance, rated for power tools:
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