How to match with regexp any occurence of a specific char within a string delimited by specific delimiters?

Question

I'm trying to match any (all occurences) single quote (') contained in strings delimited by "" and "" in a string like this:

'name':""th'is 'is"", 'n'ame':""thi's 'is"", 'na'me':""thi's is""

(The ' within 'name' or around 'name' should not be matched)

I tried like this but only matches the whole string between "" and "" and not only the (')

(?<="")(.*)(?="")