' and " are HTML entities - these are converted by web
browsers into ' and " respectively.
If you just want to print the literal characters, that's easy enough:
Response.Write """"
will print a single " (there are 4 " in that line, the two outer ones
are the string containers, the two inners generate the single " as
doubling them up inside a string turns them into a literal instead).
another example
Response.Write "<a href=""
http://myurl.com/apage.asp"">This is a
link</a>"
Notice how you just double up the quotation marks.
For an apostrophe you don't need to do anything special:
Response.Write "They're not here"
So what problem are you having with quotes and apostrophes?