To PHV- your tip about the indexed files was a good one and started me in the right direction-Thanks
To BNPMike, Thanks for your help- yes I did use a wizard and it added the keyframe (oops, that's Flash, another complex program I'm trying to learn now) being an auto-generated and unique number in the first column and which has turned out to be the source of much of my travails (and I don't mean "happy travails"). Also, thanks for having a bit of understanding for a newcomer's (to Access, not to computers) frustrations with a program which is likely overkill for most home/personal users.
To HenryAnthony (with the name formatted in the standard Excel naming convention)- You also get an assist on the play. You sound like someone who has gone through the bizarre learning curve that I must now go through; with a few helping hands along the way, I will be one of the turtles that DOES make it to the sea.
I used your suggestions, tried many combinations of steps, erred, used my backup copies over and over and finally got the tables data combined, cleaned up and usable. I even feel like I kinda understand it somehat. Along the way, I had the appended files sometimes get added twice, a few times not at all and once, in a very VERY bizarre occurrence, my database, a matter of single digit megabytes was taking a LONG time to "render". When it finally finished and I checked the size of the combined file it was over 2 GIGA-BYTES! Y-i-k-e-s! I don't know what I did to make that happen. The only problem I have with all this now is that in order to get this to work right, I had to monkey with that first column-the auto-generated key field. So now I have lost that and I don't know how (or even if) to get it back-possibly delete the values that are left there and re-generate them? Any ideas? Are they really all that necessary?
One more question for anyone- one of my fields is a date field but only a month and year which I would like to express as "1/93" for example. How can I do this? It seems to like the normal mm/dd/yy format but not the simple month/year.