If you are talking about footprint libs, this post by @bobc gives a nice step by step explanation on how to get local libraries:
There is a save local copy checkbox.
If you select it you can enter a directory of your choice as the location where your libs will live from now on.
This directory needs to be writable by your user. Otherwise your operating system (windows) will not let you do what you want. This has nothing to do with kicad.
The only thing you probably need to to first is delete the old entries from the fp-lib-table.
By the way your personal lib table is not located in c:[something]\kicad\share\templates but somewhere in your user folder. (I don’t use windows. I have no clue where this stuff lives in windows)
The one in c:[something]\kicad\share\templates is the one that gets used initially when your user does not yet have one in his user folder. It gets copied there. (There is even a message about there not beeing one and that the default table gets copied)
But you don’t need to know where your personal fp-lib-table is located. Just use the library manager to edit it.
(Step 4 of description by @bobc )