Accordions disappear after "duplicating" database.

I built an 8 element accordion on a client's web site.  Works fine looks great.  I used "Duplicator" to make a copy of the site and installed a clone of the site on my local machine using Instant WordPress. (a dry run for installing the site on his server).  Installation worked ok, had a few minor glitches.  Somewhere in the process all my accordion items disappeared and were replaced with "Demo Item".  I have looked in the database, and the accordion post record is still there, and all the accordion detail records are still there, and as best I can tell, have not changed.  The page still has the accordion shortcode.  Obviously, something got lost...some pointer or reference to the real accordion items.
I know I can do the Duplicator transfer again, etc, etc.  But if I'm going to use a tool in the future, I want to know I can fix it. I may not have the luxury of re-doing a transfer next time.  Where should I look for the broken pointer / missing record?