Eileen:
Welcome to Ireland Reaching Out!
It looks like your family was Church of Ireland. I searched on Roots Ireland and located the 1838 baptismal record for an Emily Veitch. I searched 1830-1850 and this was the only record that showed up.. Kilmore would be the parish just to the east of Killashandra. At that time, the family was living in Legaland townland in Kilmore civil parish.
I looked at the 1855 Griffiths Valuation head of household listing for Kilmore civil parish and there was only a John Veitch in Snakeel townland. http://www.failteromhat.com/griffiths/cavan/kilmore.htm The only James Veitch listed was in Kinawley parish to the northwest.
You mentioned James died in 1868 and below is the civil death index record. You can get a copy from the General Register Office for around 4 euros. if you want instructions, let me know. Let me know if you have questions.
Roger McDonnell
First name(s)James YoungLast nameVeitchAge at death70Birth year1798Registered year1868Registered quarter/year1868Registration districtCavanVolume13Page67CountyCavan
Name:Emily VeitchDate of Birth:
Date of Baptism:29-Jun-1838Address:LegelandParish/District:KILMOREGender:FemaleCountyCo. Cavan
Denomination:Church Of Ireland
Father:James VeitchMother:Emily VeitchOccupation:Landholder