Formula to return items from a list with a value greater than 0 and ignore blanks

Hi People

I need some help with what will no doubt be a simple fix, but its not coming to me.

In the sheet I have uploaded, in column B there are a list of fictional names, and in Column C there is a list of values between 1 to 10.

I need a formula that will look up the list, and return all values greater than 0 and ignore the blanks.

I have manually written what is would ideally look like in column E & F.. In reality the list of names will be in the hundreds and used daily.

I cannot apply a filter to the data and sort it that way as in reality they data is pulled using a formula and changing the order breaks the rest of the process.

Thanks in Advance.