What I wanna ask is on the TV side of the cable…
when you say old… how old?
If it doesn’t have an S-Video input, then you’re out of luck… unless of course you have another component like a DVD player or a cable box that accepts S-Video input, and is connected to your TV - in this case, you can hook up the laptop to that component.
Most recent laptops will have S-Video output so you’re prolly ok on the other end of the cable.
Here’s what the S-Video output on your laptop might look like:
and here’s what the S-Video cable looks like: