I think a major point here is "as the line runs behind the house and across a road".
To me, I think you could therefore use
the link I did, choose the "Report damage ..." option, and copy in:-
I have a telephone line that is not connected to any CP services, that is connected to my conservatory at the back of my house, then runs along the back of the house and across a road to the telegraph pole.
I intend to knock the conservatory down.
Whom do i speak to, to remove the line ?? It would be best removed before the conservatory comes down.
Note I've very slightly changed the wording, as I think it is better this way for the purpose. (I think it was best as you put it when asking us

, so I'm not trying to be "smart-assey").
The worst that can happen is they say they aren't interested. Next worse is they make a stupid suggestion, such as contact your (non-existent) CP. (It's nothing whatsoever to do with your CP(s) on the line you use). Next up is they quote you a silly amount to remove it, and best of all - with luck they arrange for it to be done free of charge.
I suggest you wait for other opinions about my suggestion though, in case I have missed any complications. The only one I can think of is if they go the quote way, you decline it if it is a lot, you then do something like cut the wire on your side of the final attachment to the house, protecting the cable end as well as possible, and then they come to check things because you have alerted them to the situation. I don't think that likely, but is a possibility.
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Edited by RobertoS (Mon 09-Jul-12 22:34:37)