From here
https://countryeconomy.com/deficit/ireland. You can also get them on Eurostat.
You can look at the budget deficit as an overdraft on your chequebook and the national debt as accumulated interest you owe on your overdraft. If interest rates fall, you can pay off accumulated interest, i.e. your personal national debt is reduced, and at the same time you could convince your bank manager to increase the level of your overdraft, i.e. to increase your personal budget deficit.
They do. The web site you referenced
https://tradingeconomics.com/ireland/government-budget correctly tells you that: “Ireland recorded a Government Budget deficit equal to 0.70 percent of the country's Gross Domestic Product in 2016. Government Budget in Ireland averaged -3.20 percent of GDP from 1995 until 2016, reaching an all time high of 4.90 percent of GDP in 2000 and a record low of -32.10 percent of GDP in 2010.”