In Ireland, electricity is equally likely to be from renewable sources during the day as during the night
ENTSO-E, the European Network of Transmission System Operators for Electricity, provides a transparency platform where you can see the hourly actual generation per production type for Ireland:

It's hard to pick out a trend just by looking at a day or two at a time, so I downloaded all the data for 2018 and did a quick analysis, binning power from 6am to 6pm together as day, and 6pm to 6am as night. Here's the breakdown by source:

Wind and fossil gas both increase during the day, which makes sense because more power is consumed during the day, and these are the two biggest sources.
To see the chances that any given watt-hour comes from one source or the other, I combined all sources into categories of renewable or fossil. Here's the percentage that each makes up:
Day Night
-----------------
Fossil 65.06% 65.47%
Renewable 34.94% 34.53%
The difference is 0.41% -- essentially negligible over the course of the year, and likely to shift from year to year.
So, what time should you charge your electric car?
Since I had the data, I decided to go a couple of steps further. First, I added up each half hour for the year for each power source:

Those morning and evening "dips" in fossil gas generation looked promising, so I categorized everything again into fossil and renewable (ignoring pumped storage and other) and zoomed in on the range where they shift back and forth, with the average plotted (approximately):

For any given time on an average day, this shows the percent of power that will come from a renewable vs a fossil fuel source.
On an average day, there are four hours in the morning and 7.5 in the afternoon during which renewables contribute more generation than average
Over the course of the year, 34.68% of all electricity comes from renewable sources. These are the times when renewables beat that average:
- 3:00am to 7:00am (35.35% renewables)
- 12:30pm to 7:00pm (36.36%)