The fact you have realized the above question underlies your deductive skill Bill S and does you great credit.
Up until 1993 we would have said that we create and destroy entanglement. We viewed entanglement as a manifestation that we created by allowing subatomic particles to directly react together in controlled ways. All known ways to create entanglement required the particles to be bought into sort of direct contact.
In 1993 Charles Bennett (http://en.wikipedia.org/wiki/Charles_H._Bennett_(computer_scientist)) published a paper because his mathematical calculations showed that QM could only be correctly explained if it was already present and we were simply unmasking it.
The direct result of his work was in 1997 the report of the first quantum teleportation (
http://en.wikipedia.org/wiki/Quantum_teleportation#Entanglement_swapping)
There is no direct connection between the two particles and yet they become entangled.
That is the moment everything changed in QM because it means every subatomic particle in the universe is inherently entangled.
The fact this was discovered by someone working with information and encrypting as a background and viewing QM as information not physical was also most interesting to me :-)
The answer to what it means that every sub atomic particle in the universe is inherently entangled is an open book being written now. I don't have answers only many questions probably the same as you.
But the answer to your question we still call it creating entanglement but actually the answer is we control the background noise and the entanglement emerges which is what is happening in the above example.
I should throw in two very recent links to ponder as you consider our solid world and where QM goes from here
http://phys.org/news/2012-04-electrons.htmlhttp://phys.org/news/2012-04-kind-quantum-junction.html