Dell Dimension 8200 - Refitting the processor & heat sink

I have a standard Dell Dimension 8200 and I'm in the process of replacing the motherboard following a fault.  I want to transfer the processor and heat sink from the old motherboard to the new one and have encountered a procedural problem, so I'd appreciate some guidance ....

After removing the heat sink retaining clips on the old motherboard, the heat sink lifted away with relative ease.  However, it also lifted out the processor, stuck to the bottom of the heat sink.  The locking lever on the processor socket was still in the locked position, but as far as I can see, the processor came away cleanly and undamaged.

I now need to re-install it into the new motherboard.  However, as the processor is  stuck on the bottom of the heat sink, I cannot position it correctly with the locking lever in the locked position. If I raise the lever to unlocked, this would prevent the heat sink/processor combination fitting downwards.  Also, with it stuck on the bottom I cannot align the pins accurately in the socket and fear damaging them.

What is the correct approach ?  Should I remove the processor from the bottom of the heat sink so that I can then refit the processor separately from the heat sink, or is it possible to refit it as a combined unit ?  If I need to separate them, how do I do this when it appears to be stuck rock solid.  If I use some type of leverage to remove it, what type of tool should I use to avoid any damage to the processor ?  If I am supposed to refit it as a combined unit, how do I do this ?

thanks, Keith