RINN Jane birth c 1816 poss Magheraculmoney parish

[barbatalice]

I'm looking for the birth of Jane RINN c 1816 possibly in Magheraculmoney parish or nearby. 
I can't find her birth in the Ardess Magheraculmoney records on Ireland Genealogy Project. Her parents are probably John RINN and Anne BARTON

On her 1841 emigration document (to New South Wales) her parents are recorded as John WREN (English miss spelling of her surname) farmer & Anne. Her father was deceased by 1841 and her mother still alive.

On her death cert in 1907 in NSW her parents were recorded as John RINN & Ann BARTON.

The transcript of her marriage in Ardess Magheraculmoney in 1838 to James MULLIGAN records her name as Jane RIN, residence Tulnaguiggy (Tullanaguiggy?)

There don't seem to be many RINNs in the area so they may have come from elsewhere - any hints on alternative spellings would be appreciated, also other areas where RINN might be a more common name

Thanks

[whiteout7]

??
Baptism recorded, St Marys Church, Ardess 11/6/1826     Marianne, father: John Rinn,  Mother  Anne, Residence:  Parkhill

http://www.igp-web.com/IGPArchives/ire/fermanagh/churches/ardess-bap-02.htm

Baptism recorded, 22/1/1832   St Marys Church, Ardess   Jane, father: Joseph Rinn, mother:  Jane, Residence Parkhill

http://www.igp-web.com/IGPArchives/ire/fermanagh/churches/ardess-bap-03.htm

??
Marriage St. Mary's Church,Ardess, 23/7/1834, Groom Thomas Tumouth, Tulnaguiggy (Tullanaguiggy?), Parish of Magheraculmoney, Bride Anne Rinn, Parkhill, Parish of Magheraculmoney

http://search.atavus.org/page/showxls?pid=11199

   

[Kessa]

The following is probably of not much help but may be useful later.  I have a Sydney Barton born 1816, daughter of Robert Barton and Jane Walker of Magheraculmoney who married John Milligan in 1837.  John and Sydney immigrated to Australia aboard the Helen in 1841.  From memory the Barton's lived around Ederney.

Kerrie