The banks like to see a good record of consistent savings. With this in mind, you should have at least 6 months bank statements showing a good amount of monthly savings.
You're current available funds are €61,000. If you take €6,000 away for fees and initial costs, that leaves €55,000 for the deposit itself and leaves a requirement for a €125,000 mortgage on a €180,000 home.
A €125,000 mortgage at 6% over 30 years gives a repayment of €1,090 per month.
You mention kids but don't say how many. The banks requirements I hear mentioned a lot requires disposable income, after mortgage payments, of €2,000 for a couple and €250 per child. Assuming 2 children, this leaves a requirement of €2,500 disposable income plus €1,090 for the mortgage - giving a €3,590 requirement for household income.
I make a €42,000 salary out to be €2,880 per month (for a married couple on a single income) so I'm afraid I don't hold much hope for you. Try using the link below to come up with an estimated amount that AIB would lend.
In playing around with Irish salary calculators, I'd estimate that a married couple with two children looking for a mortgage of €125,000 would need a household income of approximately €60,000.
https://mortgage.aib.ie/