Hi Bernadettey,
Thanks for the screen shot…….That all looks good….
Your f drive( the old IDE hard drive) seems to have around 100Gib of space used on it with around 40Gb currently shown as free space.
There are no other partitions shown…… the whole of the drive (apart from the usual small overhead and the 2.5Gb that is shown as unallocated) is available for use.
So unfortunately if the files you need are not being shown, or the folders are shown as empty the most likely explanation is that they have been emptied and stuff in them deleted…. 
All is not lost….. if say important files of your family were on the disc at one time, then its likely that they will still be there….. its just its going to be difficult to recover them…..(Its very difficult to remove files from a hard disc completely, there is often a trace left and data recovery services can work wonders at recovering data files, photos, documents and the like……
However the process is time consuming, needs great expertise and equipment and is costly, when performed by specialist data recovery professionals
You could enquire locally in your country for an estimate from a data recovery specialst of good repute to see if you think its worthwhile…..
( in my location the costs tend to start at around GBP £400 to £600, say around (USD $600-$1000 and can quickly escalate, so its only for really important stuff!
If you wanted to try a no cost "Do it Yourself" approach then some folks have achieved success by using a Live distro of Linux ( Linux Puppy is good and a relatively small download as well as being free) andLinux can sometimes "see" stuff that Windows has difficulty with, perhaps due to file permission issues and the like….
Recuva from Piriform is an excellent tool that has a good reputation, there is a free version available from here:
http://www.piriform.com/recuva
Post back and let us know how you get on.
Regards
paws