3 hours in Glasgow for dinner?

Personally I wouldn't bother. I'd just grab some snack supplies within the station in Glasgow and then get the train to Dundee asap. Nothing really to be gained by stopping in Glasgow for dinner and the station isn't in the nicest part of town.

There are choices in the city centre, but I'd echo Skyegirl and say head on to Dundee. You'll then be in Dundee and not clock watching and please remember the stations for the south and for Dundee are separate bunnies.

As you walk from Central Station to Queen Street Station you will find plenty of take out places and pass quite a few eat in restaurants. Best not to plan anything in case of late running from Liverpool.
Actually on central station there are a couple of restaurants, and the Station Hotel, if you are on time.
It is less than 10 minutes walk between the two stations.
There is a supermarket opposite Central Station to grab a picnic from and a Marks and Spencer on Central Station, for a picnic.

You could get a train Liverpool to York, then a York to Aberdeen train- that would get you to Leuchars for St Andrews the same day, or to Dundee- avoiding the cross Glasgow change.
Liv to York is hourly, York to Leuchars two hourly.

Thank you all for the help. I thought that was weird when I saw the two stations in Glasgow. So we are going to skip it and get to Dundee. I need to look at these schedules better. I found one from the LIVERPOOL South Parkway Station but when I look closer I have to use ground to get from one station to another at Warrenton central station. So back tou the schedule.ugh
I'll check the York route out.
Any other suggestions? We can leave out the S Parkway Station as we are finishing the Beatles home tour that day before heading up north.
I read that there are two main train companies in Britain with one on serving the east side of the country and another serving the west side of the country. We are using a rail pass so all trains should be included right?
I would like to avoid too many changes.
Thanks again.
Mark

You want to be using Liverpool Lime Street, the one in the City Centre. South Parkway is for the airport.
Don't even think of changing at Warrington from Central to Bank Quay Stations. That is about a 15 minute walk through city streets. I try to avoid that and I know the way to walk.
If you are on a rail pass that is valid on all train companies, of which there are around two dozen.
I was expecting you to say that the route you had was Lime Street to Preston, change, then Preston to Glasgow.
If you are starting at South Parkway for some reason catch a train from South Parkway to Lime Street, then out of Lime Street to York or whatever route you opt for.

Thanks for the info it is much appreciated.
The reason for leaving out of the S Parkway Station is we are finishing up a tour there. We are starting at Lime Street in the morning to get to Parkway. So getting back and starting there is easy enough.
So I did find one that goes through Wigan North. It has a six minute change there then goes to Haymarket then a five minute change to Dundee.

It sounds like you know the system pretty good. Is two five minutes between trains even doable?

Getting to Dundee is just a place to sleep before getting to St Andrews the next morning. We also got a room at a motel that is supposed to be on top of the Dundee train station so arrival time is not critical.

5 minutes at Wigan North Western is do-able, as it is either cross platform or the other face of the same platform.

At Haymarket you would have to change platforms via either stairs or elevators. It is a fairly small station so if the train from the south is on time yes it works. Usually trains from the south have a buffer in the schedule so tend to wait a few minutes for right time outside Haymarket, if they are on schedule.

The thing is if anything goes wrong it all unravels. I have been on that line tonight, and there was a minor, routine, infrastructure fault. Unfortunately it was at a very bad location, so my train ended up 61 minutes late, the one behind is/was 74 late.

Trains from Liverpool to Wigan run every half hour, so give yourself 36 minutes at Wigan if you can. Likewise ensure there is a later train from Haymarket for if things go wrong. In a worst case if you miss the last train of the night from Haymarket due to a late train from the south the railway would have to legally pay for a taxi for the last leg from Haymarket.