This is probably the best website to use: http://www.traveline.org.uk/index.htm
Just go to the Scotland section, go to 'plan your journey' and type in the details (from ipswich, to glasgow, and uncheck all the boxes except rail) to get these results:
http://www.travelinescotland.com/journeyplanner/showJourney.do?rid=1211311714560
The quickest option looks like taking a train to london (liverpool st), then underground to london euston station, and from there to glasgow central station. Here's the details:
http://www.travelinescotland.com/journeyplanner/showJourneyDetails.do?method=default&rid=121131178 9603
You can get the exact details and links to buy tickets if you put in your journey dates and times.
Hope that helps!
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