Woo hoo! So I checked the latest niglobal.bas and vbib-32.bas files. Their version information is EXACTLY the same as the ones I was using, HOWEVER - the ibrd() funtions pass Len() in the count parameter instead of LenB() !!!! This seems to fix the problem! Thank you very much, saikey, you were exactly right.
OK, I'll keep running this app and see if I can get any of these errors back, but I'm hoping that the problem is now solved. Thank you to EVERYONE who was helping me with this! Our code has had this problem for over a year!!
Cool.