By Ireland I assume you mean Southern Ireland?
I am not sure what you meant by financial element. As an EU national you are free to enter there, then for 3 months you are free from explanation of your residence there, then you need to prove you are exercising treaty right (worker, student, etc), similar to UK I believe.
As long as you can prove your are exercising treaty right there then your non-EEA national should have no problem to live there (provided that relationship is genuine). He/she may need an visa to enter the country, it depends on his/her passport. Then register to Garda to get a residence card once he or she is in.
I (non-EEA) lived in Ireland for 4 years as spouse of EEA national, until 2008. Husband got a job offer before moving there. I remember I got a stamp at the entry, requiring me to report to the Garda. I did and the whole process was as quick as in a fairy tale. We showed up at the Garda, showed our doc and got the GNIB at the spot. The whole process took less then 30 mins? I did the same for the next 3 years (card valid for one year).
But this was 2008 and since then things may got more complicated/time-consuming. I just hope it is not as complicated as in the UK for you. Check this link:
http://www.citizensinformation.ie/en/mo ... ional.html
*my experience is old so anyone knows anything better feel free to correct or help.