How can I pick up the blockchain download where it left off on another computer using an EHD? I started downloading the Bitcoin blockchain via my MacBook Pro onto my 1TB external hard drive. I want to use my iMac to finish the download. I plugged my EHD into my iMac and checked to blocks folder and it contained the previous transaction I downloaded (86GB). The wallet.dat, peers.dat, chainstate, banlist.dat and fee_estimates.dat files. I opened Bitcoin Core and moved the directory to the blocks folder where the previous transaction I downloaded are. I followed the steps to start the sync. I expected the blockchain to recognize the blocks and start where it left off on my MacBook but it started from the beginning. Any ideas on how to pick up where I left off?
Even if you transfer all the data from a fully synced client, the bitcoin client still needs to validate those blocks. It will still take a while, but should be quicker than downloading all the data and verifying.     

ANSWER IS NOT ACCURATE.
EDIT: If you copy the chainstate, there shouldn't be any work the receiving system should perform anymore - the software wouldn't even know it was moved. It's possible the wrong directory was used.