Your "Apple Quicktime" is probably in the form of a plugin for the browser. This doesn't necessarily mean you have installed an Apple program, it refers to the proprietary name of the software. (So Quicktime Alternative installs plugins by Apple. Probably a copyright thing.)
Try a computer search for anything "Apple".
IMO a player that can handle Apple formats (QT, MOV) is worthwhile, because there are a lot of these around. If oyu don't have the plugin, some embedded files in web pages can't be played. Real Player files abound, but seem to be a little less prolific. (Terrible player, the Real. Almost virus-like. Gets in everywhere.)
Available at Secunia is a program called PSI, which is basically the installed version of its online scanner (which I like and use). If this is installed, it can be set to monitor all your programs for patches etc. After it has completed its first scan, you can locate any file you want, by mousing over the file name, and a balloon window will appear giving you the installation path of that software. Kind of handy. It can do more besides that, including a wizard to streamline/offer guidance for updating all sorts of software, and the range of software it examines is greater than that of the online version.
The program is technically a Beta (RC3) but I haven't had, nor heard of, any problems with it.
There are other software vendors that offer similar programs, Comodo have one, there are probably a few others.