ipod touch 4th gen-can't install apps

I got an ipod touch 4th gen for my mom today. I have updated it to the current ios of 6.1.6. I went to install the apps and for all of them I get the error that I need ios 7 or higher to install them. I also have a 4th gen touch, ios 6.1.6 and I am running the exact same apps that I am trying to install on the one I just got. Is there a way for me to clone my touch to my mom's so that she can run the same apps that I am using? Any help is greatly appreciated.

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