The upgrade was from 1.3.7, which ran for a long time, and it was executed by Cpanel/Fantastico built in script. I have looked at the discount_coupon and gv_* files in WinMerge and they are identical to the default version. Here is the patch history reported by the admin section:

v1.3.9h [2012-02-24 18:09:51] (Version Update 1.3.8->1.3.9h)
v1.3.9g [2012-02-24 18:09:51] (Version Update 1.3.8->1.3.9g)
v1.3.9d [2012-02-24 18:09:51] (Version Update 1.3.8b->1.3.9d)
v1.3.9b [2012-02-24 18:09:51] (Version Update 1.3.8->1.3.9b)
v1.3.8 [2012-02-24 18:09:51] (Version Update 1.3.7->1.3.8)
v1.3.7 [2007-01-17 04:13:46] (Version Update 1.3.6->1.3.7)
v1.3.5 [2007-01-16 23:52:33] (Version Update 1.3.0.2->1.3.5)
v1.3.0.2 [2007-01-16 23:52:31] (Version Update 1.3.0.1->1.3.0.2)
v1.3.0.1 [2007-01-16 23:52:31] (Version Update 1.3.0->1.3.0.1)
v1.3.0 [2006-06-19 19:42:31] (Fresh Installation)

I am an SQL ignoramus but I don't mind using either Zen or myAdmin from Cpanel to insert the missing table, if someone would be kind enough to write me the proper command.