Additional box to receive Virgin?

Hi, been a while since I posted on here but I have a question which I hope someone can answer.
I'm currently decorating my daughters bedroom, in that room is the splitter for my Virgin internet/cable connection.
I was hoping to put a tv in there and maybe another receiver so she can watch tv.
Virgin do theirs for about £90 I think but I've seen some receivers on Ebay (Starview) for as little as £10 or £20.
Now I don't need a cracked box, not that they work any more lol, I just need a receiver which can pick up my already existing cable signal and send it to another tv.
Is this possible?
As far as I can see I just need to spur off the splitter to the box and then to the tv.

Any advice would be appreciated.

 

or put a kv 780 beside tv ,it needs a coaxial feed and a lan feed.

 

When you say coaxial do you mean from the Virgin splitter or from my normal tv aerial?

 

cable coaxial feed ,not aerial on roof.