Yes. Trains going from Dublin to Galway and from Dublin to Westport, go through Athlone. Both leave Heuston Station in Dublin. There are lots of services each day. Check the Irish Rail website from the link below.
Yes, there is a very regular train service from Heuston Station in Dublin to Cork. The journey takes just under 3 hours.
Yes, there are regular train services between Dublin and Galway. Check out the website below for more details.
There are various routes from Dublin to Athlone. The best is to go by the M4 motorway to Kinnegad and from there to Athlone by the M6 motorway. Going that way it is about 77 miles. That would be about 125 kilometres.
Depending on which Mayo station you are going to it will be between 3 and 3.5 hours approx. Some services require a change of train in Athlone but most are direct.
Dublin - South King - St Dublin 2, 40-43 Dublin - Henry St, 46-47 Dublin - Dundrum Town Center Dublin - Blanchardstown Centre Dublin - Pavillion Shopping Center Cork - Mahon Point Limerick - Crescent Shop.Center 34x Athlone - Athlone Town Centre Belfast - 3, Donegall Place Newbridge - White Water
That will depend on what time you are travelling, what day of the week you are travelling, and where in Dublin you are travelling to. To get to the city is about 2 hours, but once you reach the edge of the city traffic will get heavier, so the last part of your journey would be slower if you are driving. If you are travelling by train, that will not be a problem.
There is no train from Dublin to Waterville. You could get a train to Tralee or Killarney in county Kerry, the county that Waterville is in.
There is no direct train journey from Dublin to Glasgow. There are a wide variety of ways you can make part of the journey by train. You could get a train to Belfast and then a ferry from Larne to Stranraer, and then a train to Glasgow. You can fly from Dublin to Prestwick, and get a train from there to Glasgow. You can get a ferry from Dublin to Liverpool and travel by rail to Glasgow that way. As there are many different options, then there is no single answer to your question.
Yes. There are regular train services from Dublin to Cork all day long.
Connolly Station - just in the north inner city of Dublin
taxi or bus to Limerick and then train to Dublin - about 2.5 hours
Killarney is approximately 4 hours by road or by train from Dublin
There is one in the Athlone Shopping Centre.
The motto of Athlone is 'Urbes Stant Legibus'.