Programming :: Bash Script Trying To Remove A Leading 'and A Tailing'?

I have a script that calls for a file description on a core file. I then pull the name of the process that caused the core file.
unfortunately, the process name is pulled with a leading ' amd a tailing'. I would like to remove the leading char and the last char.

code:

VAR=`file /tmp/core.1432 | awk '{ print $14}'`
echo "Process Name: $VAR"

output:

Process Name: 'ProcessName'

Results I need:

Process Name: ProcessName

I tried sed, but it seems to not like using the special char '.