There aren't any surviving Ireland wide census records before 1901 and the 1901 and 1911 Irish census records aren't online for the entire country.
Irish civil registration records began in 1864 with Protestant marriages beginning in 1845. There's no online country wide complete database for Irish civil registration records. LDS has the microfilm indexes which you can order through your nearest LDS Family History Centre.
I notice you don't have birth locations in Ireland for any of your ancestors. You need birth locations, parents names, dates of birth. Birth location are the town/townland, civil parish and county, they're all listed on the Ireland Townland Database http://www.seanruad.com
There are 64,000 towns and townlands in Ireland in 32 counties.
Before civil registration started in Ireland in 1864, church parish records for the birth location in Ireland that survive (many don't or are incomplete) for your ancestors' religious denomination are the possible sources for their baptismal records.
There aren't any passenger records from Ireland to England because no passenger records were kept. Ireland was part of the British Empire in the 1800s not a separate country. It's just a short ferry trip from Ireland to Wales or Scotland and no passenger records were kept for those.
You need to research the civil and church records in England for your Irish born ancestors to find out specifically where they were born in Ireland, parents, religious denomination.