Hi beavykins and welcome,
It sounds as if you have a standard 3 pair cable entering your master socket. The first thing to do is to remove the ring wire connected to terminal 3 as shown here:-
http://www.kitz.co.uk/adsl/socket.htmMake sure all unconnected wires are pushed to the back of the box and are out of the way.
I would then get an ADSL Nation filtered faceplate, (or possibly, if BT have to call, get them to change the existing faceplate for a BT Openreach filtered one) and connect the modem directly to the master socket. (You can play around with house wiring but that could be difficult in your situation.)
See:-
http://www.adslnation.com/phpapps/catalog/product_info.php?cPath=24&products_id=105I would then use homeplugs to distribute Ethernet around the house ASSUMING YOUR MOTHER ISN'T ALREADY DOING SO.
See:-
http://www.netgear.co.uk/home_powerline_adapters.phpavoiding the very fast expensive ones.
(If allowed you could share a single ADSL broadband connection, so saving money.)
Failing that, use a wireless modem and install a wireless card if necessary, in the PC is another option, again assuming your mother isn't using a wireless connection.
Your speed is quite good for an attenuation of 63 dB
See :-
http://www.kitz.co.uk/adsl/max_speed_calc.phpYour mother's line, which is probably connected via a different master socket might affect your line, but as your line performance is quite good at the master socket, and if you can connect the modem at the master socket, I don't think there's too much to worry about. Do make sure that all sockets with devices plugged in have filters and check when you are in the test socket that all your slave sockets are dead. I.e. you don't have star wiring around your house.
You could remove your mother's ring wire as well.
If you need more help please tell us who your ISP is and what type of modem you are using.
Kind regards,
Walter