No, it should be on the side or back of the laptop.
Funny, okay it connects to one tv but not another, any reason why?
You will really need to give out more information than that.
Have you used the HDMI in, on the TV with another device? In case it's faulty, or disabled.
Set laptop resolution to 720p and 50Hz. Also... what make is your laptop and does it have a TV shortcut on the keyboard?
Usually they would have a special function button which is used in conjunction with another button to move the image on to an external screen like a TV or monitor. Get back in touch Ricz, I'll try and get you through this. Together, forever.