Thanks!!! I went ahead and removed Avast! from both of my computers. I'll start both over from scratch. The repair option is a great feature that I have used in the past with success. It had been a while since I did a clean install. I've always gone the upgrade in place route with no issues. I may have been bit this time by a combination of upgrading to Windows 10 and upgrading the antivirus software over the existing older version.
Hopefully, I'm no longer over my head. The incorrect password message rattled me. One thing for future reference, if anyone else encounters this, I noticed that on the Windows 10 login screen there is a box just below the password line. It has some cryptic title that I have forgotten, but clicking that box will offer the user the option to login with the pin (icon on the left) or the account password (icon on the right). I guess Windows didn't know which one to use on my wife's computer when going into SafeMode. (I didn't run into it when using the same procedure on my computer so it threw me a little.) Anyway, that's another thing to put in the mental tool box for future use.
Also, I checked my account again from the Avast! main site and noticed that the same computers were listed multiple times. I deleted each of the computers to untie them from my licenses just in case there was some miscommunication between the number of computers and number of licenses. I have three licenses, but both of our computers were listed twice on the account. That could possibly tell Avast! that I don't have enough licenses available. Right now neither computer is tied to an Avast! license. I'll reconnect each as I reinstall. One way I think this could happen is via multiple license renewals and interim software upgrades, but I'm not really sure.