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I ran across this old thread today! 

Elizabeth Arnold who married Charles Houghton, was my second great grand aunt as her sister, Letitia Arnold was my second great grandmother and married Edward Houghton/Haughton of Cloonboygher, Co Leitrim.   (Margaret, I think you are the one who introduced me to your cousins as well.   One of them has become a dear friend!)

PETER UPTON-DAVIS, I think I can clarify some things for you regarding Charles Edward Houghton/Haughton.   Charles was my 1st cousin 4 x removed.   You may know this but he was also from Cloonboygher.  Cloonboygher is a small townland down the road from Newtowngore.  It was not uncommon for them to list Newtowngore or Carrigallen on ship records and other documents rather than their townland.    Among his sisters were Isabella and Ellen who both tragically lost their lives in the ship wreck of the Cataraqui on their way to Australia.    My grandmother still spoke of the shipwreck when she was alive.   This is an old thread, but if you need more info on your Cloonboygher family, I would be happy to share it with you.   (Among the family, some spelled it Houghton, some Haughton-but it is all the same family, some times they used both ;-)

You asked if the Houghtons are related to the Arnolds.   The short answer is yes but the long answer is yes BUT....they are a confusing story of endogamy that wed in and out of each other's families.

It has been 14 years since I posted my original post. 
I can finally add some information and hopefully answers helpful to someone else as well.   
1.  Margaret, our Arnold's in Drumbrick are not related, but our Arnold's in Rockfield, Co Cavan are.
My great great grandmother, Letitia Arnold, shows up in the 1841 census as the sister in law to Charles and Elisha Elizabeth Houghton in Rockfield, Co Cavan.    Your Arnolds are descended from William Arnold of Aghavadrin, Killeshandra, Cavan, Ireland.   Children included Elizabeth, Rachel, Mary Anne, Richard and Letitia.    The daughters were wed in Carigallen at the Methodist Meeting House.   Richard was married in Co Fermanagh to a Margaret Johnston.   Letitia eventually married Edward Houghton in Cloonboygher, Co Leitrim.   I have recently messaged with a potential relative of yours-D and is very familiar with the Coromahon House as well.
2.  The Arnold's listed by aghadowney are my granduncles and grandaunt.   thank you!
3.  Re the question of a Joseph Arnold existing, he does!    His father was John Arnold b 1781.   He was born in 1831.   This  is substantiated by his marriage records in 1854 where his father is listed as John Arnold of Drumbrick.   He was still present in the 1901 census in Drumbrick.    I also have DNA ties to John Arnold's brother Thomas and have been in contact with his descendants. 
4.  My Sherrard tie is from my grandfather from Limavady.   
5.  Thank you for all the info from the Leitrim Advertiser.   I'm eager to go through them.
6.  My direct Arnold descendants lived Drumbrick through the early 1950's.  Several of them immigrated to the US, Mary Anne ARNOLD married and moved to Cloonboygher, but the rest lived out there lives there.   I've hit a brick wall in that of the ones who stayed behind did not marry except for Margaret Jane Hyland nee Arnold, who died in 1954 at a hospital in Carrick on Shannon with her residence still listed as Drumbrick.    She wrote my granny a letter with a picture saying that "Maggie had 3 sons".   I can only assume that is her daughter or daughter in law but I can find nothing for her.   Her father's name was John "Jonnie" Hyland of Druminshin Glebe, Co Leitrim, Ireland.   

Thanks again for all everyone has contributed.   It is so appreciated.   

Marylou