A possible clue is the sponsor Sarah McCaffrey in the 1906 baptism for Catherine Maguire
there is a Sarah aged 10 in Kilsob Co Cavan in 1901 census , if a sponsor is older than 16 in 2006, then other Sarah’s could be a co Fermanagh relative
eg could she be a sister of
1901 census4 in Derryhooly (Crum, Fermanagh)
McCaffrey Patrick 60 Male Head of Family Roman Catholic Co Fermanagh Farmer Cannot read or write - Married -
McCaffrey Mary 52 Female Wife Roman Catholic Co Fermanagh Farmers Wife Read and write - Married -
McCaffrey Sarah 24 Female Daughter Roman Catholic Co Fermanagh Farmer's Daughter Read and write - Not Married -
McCaffrey John 18 Male Son Roman Catholic Co Fermanagh Farmers Son Read and write - Not Married -
McCaffrey Hugh 16 Male Son Roman Catholic Co Fermanagh Farmers Son Read and write - Not Married -
or in same census
McCaffrey Sarah Derryveone Irvinestown Fermanagh 39 F Co Fermanagh W-Mistress in School Roman Catholic Read and write Wife Married
McCaffrey Sarah Gortaree Aghyoule Fermanagh 65 F Co Fermanagh Farmer Roman Catholic Read Head of Family
Don’t give up too quickly people didn’t travel much in those days, Enniskillen inc its civil parish of Rossory civil parish itself boarders with Drumlane Co Cavan the Mc Caffery were to be found in these bordering civil parishes
http://www.irishgenealogyhub.com/fermanagh/maps/civil-parishes-of-county-fermanagh.php#.Wppo3Wacapgand
https://www.johngrenham.com/browse/county_civil.php?county=Cavanthat leaves entries many mcCaffrey who might be her parents matching the Cavan civil parishes along the border with Drumlane and Tomregan so the list taken from Griffiths Valuation reduces to and might be too early
Mc Caffery James Blackhill Enniskillen Fermanagh
Mc Caffery Denis Claranagh Enniskillen Fermanagh
Mc Caffrey Patrick Gorahurk Tomregan Fermanagh
Mc Caffrey Hugh Gortahurk Tomregan Fermanagh
Mc Caffrey Patrick Gortahurk Tomregan Fermanagh
Mc Caffrey Hugh Gorahurk Tomregan Fermanagh
Mc Caffrey Cornelius Knockadoois Tomregan Fermanagh
Mc Caffrey John Abbey St., Enniskillen Enniskillen Fermanagh
Mc Caffrey Patrick Belmore St., Enniskillen Enniskillen Fermanagh
Mc Caffrey Bernard Coolcran Enniskillen Fermanagh
Mc Caffrey Edward Coolcran Enniskillen Fermanagh
Mc Caffrey James Coolcran Enniskillen Fermanagh
Mc Caffrey James, Jr. Coolcran Enniskillen Fermanagh
Mc Caffrey James, Sr. Coolcran Enniskillen Fermanagh
Mc Caffrey Philip, Jr. Coolcran Enniskillen Fermanagh
Mc Caffrey Philip, Sr. Coolcran Enniskillen Fermanagh
Mc Caffrey Hugh Creevehill Enniskillen Fermanagh
Mc Caffrey Thomas Creevehill Enniskillen Fermanagh
Mc Caffrey Owen Cullion Enniskillen Fermanagh
Mc Caffrey John Darling St., Enniskillen Enniskillen Fermanagh
Mc Caffrey Patrick Drumgay Enniskillen Fermanagh
Mc Caffrey Francis Drummackan Enniskillen Fermanagh
Mc Caffrey Hugh Drummackan Enniskillen Fermanagh
Mc Caffrey John Drummackan Enniskillen Fermanagh
Mc Caffrey John Eden Street, Enniskillen Enniskillen Fermanagh
Mc Caffrey Edward Edenmore Enniskillen Fermanagh
Mc Caffrey John Edenmore Enniskillen Fermanagh
Mc Caffrey Bernard Glen Enniskillen Fermanagh
Mc Caffrey Edward Glen Enniskillen Fermanagh
Mc Caffrey Margaret Glen Enniskillen Fermanagh
Mc Caffrey Denis Head St., Enniskillen Enniskillen Fermanagh
Mc Caffrey Elizabeth High Street, Enniskillen Enniskillen Fermanagh
Mc Caffrey Owen Killyculla Enniskillen Fermanagh
Mc Caffrey Rose Killyculla Enniskillen Fermanagh
Mc Caffrey Francis, Jr. Letterbailey Enniskillen Fermanagh
Mc Caffrey Francis, Sr. Letterbailey Enniskillen Fermanagh
Mc Caffrey James Letterbailey Enniskillen Fermanagh
Mc Caffrey Mary Letterbailey Enniskillen Fermanagh
Mc Caffrey Thomas Letterbailey Enniskillen Fermanagh
Mc Caffrey John Mullanskea Enniskillen Fermanagh
Mc Caffrey William Ramaley Enniskillen Fermanagh
Mc Caffrey Patrick Stragole Enniskillen Fermanagh
Mc Caffrey Edward Tempo Enniskillen Fermanagh
Mc Caffrey John Tempo Enniskillen Fermanagh
Mc Caffrey Mary Tonyglaskan Enniskillen Fermanagh
Mc Caffrey Patrick Tullyullagh Enniskillen Fermanagh
Mc Caffrey Philip Tullyullagh Enniskillen Fermanagh
again one could reduce this further knocking out the northern townlands of Enniskillen parish if one could find a townland map if only one could find a parents first name
good luck onwards