I have had a look on BIVRI and these are the only Connor births recorded on there for a Patrick and Rose for about that time - Rose surname not you the one you lookin for tho
CONNOR, Maria Bir 1880 Irel Rosc Rosaki
Fa: Patricius CONNOR
Mo: Rosanna COYLE
CONNOR, Patricius Bir 1880 Irel Rosc Rosaki
Fa: Patricius CONNOR
Mo: Rosanna COYLE
CONNOR, Catherina Bir 1881 Irel Rosc Rosaki
Fa: Patricio CONNOR
Mo: Rosanna COYLE
............... I also looked for Patrick Connor births March 1867 but none on 17th - I have copied the March ones below - there are also lots and lots for the rest of that year. Are you able to narrow down area any yet?
CONNOR, Patrick Birth
Gender: Male
Birth Date: 14 Mar 1867 Birthplace: 30, Bantry, Cork, Ire
Recorded in: Cork, Ireland
Collection: Civil Registration
Father: James CONNOR
Mother: Mary LYONS
Source: FHL Film 101144 Dates: 1867 - 1867
CONNOR, Patrick Birth
Gender: Male
Birth Date: 19 Mar 1867 Birthplace: Inchigeela, Cork, Ire
Recorded in: Cork, Ireland
Collection: Civil Registration
Father: Patrick CONNOR
Mother: Anne CONN
Source: FHL Film 101149 Dates: 1867 - 1867
CONNOR, Patrick Birth
Gender: Male
Birth Date: 11 Mar 1867 Birthplace: 249, Castlegregory, Kerry, Ire
Recorded in: Kerry, Ireland
Collection: Civil Registration
Father: Bartholomew CONNOR
Mother: Catharine MORIARTY
Source: FHL Film 101144 Dates: 1867 - 1868
ONNOR, Patrick Birth
Gender: Male
Birth Date: 22 Mar 1867 Birthplace: 263, Dingle, Kerry, Ire
Recorded in: Kerry, Ireland
Collection: Civil Registration
Father: Gregory CONNOR
Mother: Mary GRIFFIN
Source: FHL Film 101144 Dates: 1867 - 1868
CONNOR, Patrick Birth
Gender: Male
Birth Date: 9 Mar 1867 Birthplace: 340, Kilgarvan, Kerry, Ire
Recorded in: Kerry, Ireland
Collection: Civil Registration
Father: Michael CONNOR
Mother: Mary DONOHUE
Source: FHL Film 101144 Dates: 1867 - 1868
CONNOR, Patrick Birth
Gender: Male
Birth Date: 2 Mar 1867 Birthplace: Ballyduff, Kerry, Ire
Recorded in: Kerry, Ireland
Collection: Civil Registration
Father: John CONNOR
Mother: Mary FITZGERALD
Source: FHL Film 101149 Dates: 1867 - 1868
CONNOR, Patrick Birth
Gender: Male
Birth Date: 26 Mar 1867 Birthplace: Tralee East, Kerry
Recorded in: Kerry, Ireland
Collection: Civil Registration
Father: Daniel CONNOR
Mother: Bridget QUINLAN
Source: FHL Film 101149 Dates: 1867 - 1868
CONNOR, Patrick Birth
Gender: Male
Birth Date: 31 Mar 1867 Birthplace: 166, Castlerea, Ros, Ire
Recorded in: Roscommon, Ireland
Collection: Civil Registration
Father: Patrick CONNOR
Mother: Ellen CONNOR
Source: FHL Film 101148 Dates: 1867 - 1868
O CONNOR, Patrick James Birth
Gender: Male
Birth Date: 24 Mar 1867 Birthplace: Queenstown, Cork, Ire
Recorded in: Cork, Ireland
Collection: Civil Registration
Father: James O CONNOR
Mother: Ellen MAHONEY
Source: FHL Film 101149 Dates: 1867 - 1867
No trace of marriages on BIVRI for any of the marriages - sorry
saz