If the loop length is .34-.5 miles (which is quite good) with no impedance mismatch or bridge taps or other various copper faults, then you would/should be able to sustain 10+ Mbps on an ADSL2+ connection.
My guess is that the distance is further than it seems, and the line may not have been reconditioned from phone to internet purposes.
Anyway I bring it up because distance is the biggest determinant of bandwidth when it comes to copper, and if the distance is great then there is little that fixing copper faults can do to improve internet speeds at your parents' place.
[1] (Common and very likely) The DSLAM they installed there is a fiber node and feeds only VDSL over < 50 ft wire to the crossbox. ADSL also feeds into the crossbox, but not from the new DSLAM. It still travels from the CO (central office) and may still be 1-2 miles of wire away.
[2] (Uncommon and less likely) The DSLAM has VDSL and ADSL cards in it. In this situation the DSLAM can support high speed VDSL to very close residents and ADSL to further residents. The CO is no longer the source of ADSL signal, and this is typically a nice reduction in loop length for people.
In your shoes, I'd get in touch with the ISP and see if you're CO fed or not. If you're CO fed, there's little that can be done to improve the speeds =(. You could ask if it's possible to do pair bonding to improve your speeds. Just beware, switching to pair bonding means you'd need to lease/purchase a new modem that can do bonding and the ISP would have to roll a truck to wire up the 2nd pair.
Hope that helps!
There were a lot of rectangles and squares, but there were also some weird shapes, strange cutouts, or long stretches. I think there were even some islands of coverage A surrounded by coverage B.
You can be fifteen feet from the CO, but that doesn't mean that's the one they ran your lines from.