Mark,
I believe they were P&W. The CFM 56 would have offered some commonality but BA's longer term plan seems to be to replace the CFM56 powered 737's with IAE V2500 Airbus's.
They still have 10 CFM powered early model A320's including the 5 real slugs (the A320-100's) but last years rumours suggested that they would be replaced by shiny new ones at some future time so ensure the complete whole fleet commonality.
Again...runmours and speculation but what's the name of this forum...errr ...Reporting Points