Basically, once you have your $name, you want to see where it appears in a second file. This step is equivalent to using the unix 'grep' to search through a file, and if you have that installed, you could simply use a system command to get the results. But a more portable solution would be to load in the text file, and use perl's built-in grep to find your string:

open FILE, "<$inputFileName" or die "Cannot open: $!";
my @lines = <FILE>;
my @matched_lines = grep { /$name/ } @lines;
close FILE;
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Dr. Michael K. Neylon - mneylon-pm@masemware.com || "You've left the lens cap of your mind on again, Pinky" - The Brain
"I can see my house from here!"
It's not what you know, but knowing how to find it if you don't know that's important