Since no one gave me any suggestions on this problem, I decided to keep playing with my Firefox history.
I went to Firefox browser Tools > Options and saw that I had "Remember History" selected. This is what I want...I only wish to erase history when I want to. About every few days I remove history.
I next went to "Clear Recent History" and noticed that was where my problem originated. There are a number of choices to select from: Last Hour, Last Two Hours, Last Four Hours, Today, and Everything.
I had all the boxes checked for what parts of history I wanted erased. They are: Browsing & Download History, Form & Search History, Cookies, Cache, Active Logins, and Site Preferences.
Normally I erase Everything when I erase history. But, I had selected Last Hour sometime in January and never changed the selection.
Thus, every time I erased History after that day...I was only erasing "Last Hour" of my history. The rest was being saved. Which is why I can go into the history folders and see information for January.
I have taken the time to write up this report on using the Firefox browser, so that others can benefit from it. There are many people deciding to use Firefox everyday...hopefully this will help someone else.
