I’m mostly using Ancestry (as well as other sites to confirm birth dates etc). Not entirely sure i have the correct parents for Bridget and Charles though can’t find any other records that align with their birth dates and places despite using different name variations.
Registration of births and deaths began in 1864 in Ireland. Registration of non-Catholic marriage began 1845 and Catholic marriages 1864.
Irish Genealogy.ie
https://www.irishgenealogy.ie/en/Website also contains transcriptions and indexes of parish registers in some dioceses. See "Current list of available parishes".
Before the start of civil registration, you're reliant on church registers which may not exist for the parishes and timeframes you need.
Catholic Registers at the National Library of Ireland
http://registers.nli.ieUse "Search the map" on the Home page. Map shows outlines of counties. Select Leitrim then enlarge to show parishes. Selecting each parish in County Leitrim and clicking on the name shows a list of registers with dates + links for more information. That will give you an overview of which registers exist for Co. Leitrim for the period. Home page for each parish has a small map in top corner. Selecting & clicking on a parish brings up home page for that parish with list of registers. Parishes in Co. Leitrim belong to 2 R.C. dioceses, Kilmore and Ardagh. Some parishes may cross county borders, e.g. one is partly in Sligo.
SWilson.info
http://www.swilson.infoThis is a useful website for identifying places, registration districts, civil and ecclesiastical parishes, townlands &c.
Irish Ancestors Wizard
https://www.johngrenham.com/wizard/Another website worth exploring. Section on surnames shows distribution. List of surname variants.