After some hunting and searching again through the Mint Forum and on Google, it appears that "Busybox" is not a Mint situation but Ubuntu's. It seems that their forum has had numerous people complaining about the mysterious, seemingly useless "Busybox" halting their attempts to install Ubuntu (and, presumably, other direct variations of Ubuntu). So, I thought that it may behoove me to try a different version of Mint and see what happens. Are they all afflicted by the "Busybox" disease with no apparent remedy at hand?
I downloaded Linux Mint Xfce CE (y'all love initials, eh?) and here I am responding to this message from the Xfce Live CD. Xfce started and is running very smoothly. I've never used Xfce before and going back to Gnome. I'll play with Xfce for a while on the Live CD to see if it works smoothly, easily and without too many confusions (for a N00B, at least wtih Xfce). If it's all to my liking, then I will be back in the Mint fold.
I realize that I may have posted this message/situation description originally in the wrong forum. Sorry 'bout that, chief. However, it's here and I thank those few who have responded and all those who have read the posts here.
I still hope, however, that the "Busybox" disease will not be prevalent in Felicia and she and I will be able to dance smoothly and lovingly. I guess I'll check back in a few weeks/months when Felicia makes her appearance and leaving "Busybox" outside in the cold rain...
Off to search the large selection of programs available in Daryna Xfce CE and see what trouble I'll get into.