https://support.mozilla.org/en-US/kb/update-firefox-latest-version 46.0.1

Use this link to check that your plugins are up-to-date. If any are listed as unknown or research, do not worry about them.

See if there are updates for your graphics drivers https://support.mozilla.org/kb/upgrade-graphics-drivers-use-hardware-acceleration

Thank you for your suggestions!! As stated in my original question, I am running the latest version of Firefox, (Version 46.0.1). I have checked my plug-ins, (and "Extensions"), several times to ensure that they are up to date and have no updates to install. At 2 different times over the past 2 weeks, I have checked my graphics driver, (and other drivers), for updates, and there appears that there are none. The card my laptop uses is a AMD Radeon (TM) R2 Graphics Card, Driver Date: 4/17/2014, Driver Version: 13.351.1105.1001. I go through the Device Manager to update the Driver. I also run a "Thorough Virus Scan" using Avast, and Scans using MalwareBytes, & SpyBot SD, (these 3 programs are checked for updates at every startup), at the end of every night to ensure that there are no other issues. ***Update: The Image upload actually worked!! Yaaay!!

Many site issues can be caused by corrupt cookies or cache.

• Clear the Cache and

• Remove Cookies
  Warning ! ! This will log you out of sites you're logged in to.

Type about:preferences<Enter> in the address bar.

• Cookies; Select Privacy. Under History, select Firefox will Use Custom Settings. Press the button on the right side called Show Cookies. Use the search bar to look for the site. Note; There may be more than one entry. Remove All of them.
• Cache; Select Advanced > Network. Across from Cached Web Content, Press Clear Now.

If there is still a problem, Start Firefox in Safe Mode {web link} A small dialog should appear. Click Start In Safe Mode (not Refresh). While you are in safe mode;

Type about:preferences#advanced<Enter> in the address bar.

Under Advanced, Select General. Look for and turn off Use Hardware Acceleration.

Poke around safe websites. Are there any problems?

Then restart.

I followed your instructions precisely, and then also started the "test" over using my method which is using CCleaner & Glary Utilities to clear all cookies, tracking cookies, and cache, achieving the exact same results. I found that I didn't have to go in Safe Mode to deselect "Enable Hardware Acceleration", because it can be deselected without going into Safe Mode. To test it out properly, I went to each website separately, using different sessions, with Cache, & Cookies being completely removed prior to going to the pages, (verified by reviewing the about:preferences page that Cache & Cookies were all removed). In regards to YouTube, the same error screen occurred. I went so far as to clear everything again and give it a second attempt, but got the same results as the first, (with Hardware Acceleration Both on, and off, no change in results). I recently used Comodo IceDragon to view YouTube, with no errors occurring, (this browser claims it runs using the Firefox Version 40 Engine). In regards to the Script Errors on Pogo.com; I also did a "clean start" with this session as well, also attempted it with Hardware Acceleration both on and off, but unfortunately I received the same results. As a further observation, I noticed that there is alot of "lagging" and periods of "non-responsiveness" of the browser, (I am assuming that this being caused by the plethora of various Scripts being run in the background). I do have a very similar issue with Facebook as well, with about the same frequency. Only exception being on Facebook, it's mainly "lagging" issues. When these episodes happen, I get mixed results from the Task Manager; there are times that it uses over 75%-80% of CPU, and other times it will use as little as 10%. In either case, 35%-45% of the time, it will result in Firefox crashing abruptly and offering me to send an Error Report, in which I do, ensuring that my email information is sent as well with the Report.

The above means the computers CPU is being overworked.

https://support.mozilla.org/en-US/kb/websites-look-wrong-or-appear-differently

https://support.mozilla.org/en-US/kb/firefox-slow-how-make-it-faster

https://support.mozilla.org/en-US/kb/firefox-uses-too-many-cpu-resources-how-fix

https://support.mozilla.org/en-US/kb/firefox-hangs-or-not-responding

https://support.mozilla.org/kb/Firefox+is+already+running+but+is+not+responding

I actually reviewed those FAQ's about a month or 2 ago and tried them, along with the "Refresh", (as stated in my original post). Unfortunately these options did not resolve the issues. I am aware what the percentage of CPU usage means and implies as well as knowledgeable of a few other things. I started programing computers in Basic/ Integer on Apple IIe's, Commodores 64's, IBM's and even KayPro II's, when they first came out, and through the years built several PC's from scratch and have used just about every version of Windows starting from Windows 3.1 through Windows 8.1. I sincerely appreciate your assistance in trying to resolve these issues!! As always, I am open to any suggestions and, or comments.

I have found a resolution!! As I stated before, some options on various pages do not work, or you get error screens when using Firefox. To resolve this issue, I am now using the Avant Browser, (http://www.avantbrowser.com/), which is 3 browsers in one. Avant Browser has three Rendering Engines built-in: Trident, Gecko and Webkit, the engines behind Internet Explorer, Mozilla Firefox and Google Chrome respectively. Users can choose whatever their favorite engine as the default, and switch to others when the default cannot render a web page properly. And users can also define different rendering engine for each website in Avant Browser Options, so the rendering engine will be switched automatically when navigate to these websites. I have been using Avant for several days now, and so far, it seems to have resolved my issues with the various websites. When Firefox can update so that these issues are no longer an issue, I will come back to Firefox full time. For now though, I will be using Firefox periodically through Avant. Thank You for all of your suggestions!!

That was very good work. Well Done.