I live in Glasgow so thought I'd post some info about Ashton Lane etc, sadly I won't be able to go myself which I'm a bit gutted about :(
Ashton Lane is right next to Glasgow University and not too far from Kelvingrove Museum. It's in the west end, which is by far the poshest (less likely to get stabbed part) of the city. Full of students and "intellectuals" ;)
You COULD potentially walk from Ashton Ln to Ibrox stadium but I don't know if I'd recommend it. As you cross the Clyde river and head into Ibrox/Govan it gets less friendly so to speak. Not the worst bit of Glasgow, but different from the west end anyway!
From Ashton Lane there's a subway station Hillhead which is like 2 minutes walk away, this should take you to a subway station called Ibrox, which is almost ON Ibrox Stadium itself, so that's probably what you'd want to aim for. Also you could get mini-buses or normal taxis from Glasgow Taxis (0141 429 7070). A normal taxi shouldn't come to more than £5-7 I reckon, even with a black cab (obviously private hire taxis are cheaper).