You always need to remember that getting rid of Britain's Irish problem automatically creates Ireland's British problem.
Britain is extremely close in proximity to Ireland and has much greater mineral wealth, a larger population and is Ireland's main trading partner. Ireland's main exports being staple agricultural produce and horses and with very limited mineral resources (there is (even now) a little salt mining in Ulster, there were two decent(ish) hard coal mines, now exhausted and a little copper, lead, gold and silver mining. Copper and lead exhausted by 1900, silver by around 1850. Gold recently revived by modern mining techniques but had stopped prior to Famine).
Ireland has to remain on sufficiently friendly terms with Britain for Britain to allow them to trade there (which is why once having achieved Irish independence Collins, O'Higgins and Cosgrave started being extremely conciliatory). An independent Ireland might provide mercenary soldiers to France and Austria but would also have to temper this with not overly offending Britain. As I said in another forum, Britain doesn't have to declare war to bring an independent Ireland to its knees, just to place a few tariffs on Irish exports. Ireland has few or no unique selling points like cork, port, sherry, fine wines or amber that couldn't be readily obtained in other countries. Bluntly, Ireland needs the British market whereas Britain only finds the Irish market mildly desirable.
Remember too that the early independence of Ireland means a country that would be wildly unlike the Ireland we know today. Most Irish towns (including Dublin) were laid out by the great Ascendancy landlords in the late 1700s, so fewer Georgian squares and a slower investment in infrastructure like canals, roads and bridges (the British put a lot of cash into this during the Revolutionary and Napoleonic wars, mainly for strategic reasons). And a lot less agricultural development. The "absentee English landlords and feckless local gentry" are the traditional picture but serious studies of Irish agricultural history actually tell a rather different story. In aggregate, the landlord class were a force for modernity and owed much of their unpopularity to their reluctance to allow farms to be equally divided among all the farmer's sons and their desire to introduce alien processes to traditional Irish farming. Like crop rotation. And the seed drill. So an independent Ireland might actually be more densely populated with less emigration and worse infrastructure by the time of the Potato Famine.
Moreover its agricultural economy would falter as the C19th progressed and increasing amounts of produce are imported from Russia, America, Argentina, Australasia and South Africa.
The shipbuilding industry would be unlikely to take off, aimed as it was at the British market and neither Harland nor Wolff being Irish. The linen industry being mainly Quaker and Presbyterian is likely to relocate to Lancashire or the Scottish borders over time as realistically it is hard to avoid a period of Catholic political dominance.