Well it seem neither your current solicitor nor the one you had when you bought are up to speed.
You should not have been allowed buy without it.
If I understand you correctly
Your neighbour is called the dominant tenement is the land benefited by the easement and you are the servient tenement is that over which the easement exists.
So is it not up to the neighbour to provide proof of the easement.
http://www.prai.ie/registration-of-...e-acquired-by-prescription-under-section-49a/
may help
You could worse than call them to get a fix on the process and time scale