"Is it possible to carry or parse original variable names into the function using varargin"
That would be a very bad way to write code:
The whole point of functions is that they are a black box: what happens inside should be irrelevant. For example, do you know what internal variable names the SQRT function uses? No, you don't. Imagine if SQRT only worked with one particular input variable name, that would be a horrendously user-unfriendly function. Ugh.
What you are proposing throws away most of the benefits of using functions. Why would you want to do that?
In any case, this question is a good example of
Instead of asking us about your attempted solution, you should describe what the actual goal is: what kind of data do you have and how do you need to process it? Forget about magically naming variables like that, unless you really want to force yourself into writing slow, complex, buggy, inefficient, obfuscated code that is hard to debug. Best avoided.
