"Train on its name"? Why is it required?
I usually find any one of below reasons to be satisfying to have a "Train on its name"
1: Station is a terminal
2: Station belongs to state or national capital
3:...
more... Station belongs to city having cultural importance (Haridwar, Agra, Ajmer etc), has large number of tourists everyday(Agra), posts heavy GDP to state/country( Kanpur etc)
There are still many big cities/railway junctions in India which do not have "Train on its name". Eg: Ambala, Ghaziabad, Saharanpur etc.
I think, what you should require is better facilities & more trains and not what you wanted !!!
Just personal opinion !!!