There are many websites for passenger records. Ancestry has one of the largest but there are others.
Are you interested in Longford or Clare, as this is the Clare message board.www.askaboutireland.ie
The only Lernan's in 1855 were in Clare, all 16 that were in Ireland. Parish of Kilmihil. I understand there are birth
records for the parish. Names are Michael, Jas, Thomas, Patrick and a Daniel.www.kilmihil.ie
Longford Civil Records:
Lilly Madeline born Jan-March 1889 Vol.3Pg. 181 #4193976
Christipher Anderton Learnan July-Sept 1885 Vol.3 Pg. 178
I would think Lilly might marry about 1910 or so but found no record in Longford.
The only thing close is a Lena McLernon married April-June 1917 Belfast?
No Lernan's in either Longford or Clare telephone books.
1901 Census: www.census.nationalarchives.com
No Lily or Agnes Lernan but an Agnes McLernan?
1901 63 Hopetown, Court Ward, Antrim
James McLernon 46, Painter, born Co. Down
Agnes McLernon 46 born Co. Down
Agnes Florence McLernon 22, born England, linen weaver
Lilian 20 born England (Lily named after aunt?)linen weaver
Elizabeth 17 born England,linen weaver
Samuel 8 born City of Belfast
Selina 12 City of Belfast, clerkers
Harry 5 born City of Belfast
George 18 born City of Belfast, Carpenter
They seemed to have left Antrim and possibly Ireland as I couldn't find them in the 1911 census.