I am sorry for dropping out of this thread for a few days and I meant to post some examples of the browning I was asking about.
Londonbus1's answer seems like the most plausible in terms of the problem I have. Much of the browning occurred at edges of stamps that I think were sticking out from some of the pages. Many of the stamps were also kept in albums which had a black card background. Basically my father had 2 big albums, one with black card and the other one was higher quality with white card. I have since removed everything from the albums and put everything into either glassines or dealer cards from Subway, so looking at the browned stamps at this point it is hard to know stamps which came out from which album anymore.
I was just going through some things this morning and I came across this stamp sheet of a 1963 Korean stamp (Scott #411a). The browning is not as pronounced on this stamp as it is on some of the others I have, but it does show the issue I am referring to. My guess is that this one was sticking a bit out of the page above the plastic strip.
What Londonbus1 is saying is that occurred from the black card being behind the stamps, but on this one I think it might of occurred from not being protected by the page and exposed to air, but again I can't be sure how it was being kept at this point since I have removed it for some time already.

Again, I have some other stamps where the browning is more pronounced which I will post later. I even have some stamps where I have multiple plate blocks and some are yellow and others have stayed white of the same stamp blocks.
I also have one San Marino plate block that my father stored in a glassine which is nice and white and yet he also has a single stamp of the same stamp from the plate block that he kept in the album and which has yellowed throughout the stamp both front and back.
So I think it probably has something to do with the album for sure, either the black paper the white paper, acid in the paper in general, or something else. Also, with mine obviously it is not just an Italian paper issue. If I go through my stuff I am sure I will find it occurred on stamps from many different countries and it is probably based more upon how they were stored rather than what country they came from.
I guess at this point though the bigger question though is not if it occurred from dust, mold, or paper backing, but how does this issue affect the value of a stamp once the damage is done? I am sure it can't be good and it has to be a turn off for collectors when they see something like this?
I was also wondering what sort of a notation should I make in the description of a stamp where this has occurred? Is there some way of referring to it in the stamp collecting world?
@Tom H - To answer your question about how I am organizing things for the time being; Well I have pretty much already gone through what my father gave me and I would say that the stamps that have any decent value are mostly stamps from Italy, Australia, San Marino, Canada, and a few other bits and pieces here and there. I basically separated everything which had a Scott value of $10 or more into a separate collection and put all the data for those stamps into an Excel spread sheet for easy reference. Then I have the remainder of the collection, which doesn't have much value at all in another box. That is mostly newer stamps from the sixties and seventies.
On the spread sheet, I also added in comments on all the observations I made on each stamp to help potential buyers in the future to understand the physical condition of all the stamps at a glance and I also plan to go through them all again once more just to make sure I have noted all the comments and that there fully covered.
That software you are using sounds good, but I think I should be able to manage with the Excel spread sheet approach I am taking.
As for selling, auctioning, I haven't gotten that far yet and am not even sure when and what part of it I am really going to start selling off.
It could still be a couple of years. Hard to say. It really depends on how things develop with it all. I still want to learn more about what I have and what it is really worth before I take any additional steps.
I think for online auctions people use of course
ebay, then there is bidstart.com, declampe.net, and a few others I think.
Maybe best to defer that question to the experts on here who know far more about buying and selling than I do at this point.
Best wishes with your collection...