I have previously made contact with a chap here in NSW Australia who has a James William FLEMING from Tyrone who was married to an Esther LINDSAY and they came out here to Australia in 1848. Perhaps it is just coincidence that these FLEMINGs and LINDSAYs married prior to coming to Austalia and lived in TYRONE and perhaps (a long shot) they could be related to your branch.
I do have a family site (which is a repository for all sorts of Fleming/Flemming information)
You are welcome to browse or to join and post your Fleming/Lindsay Surname information on the MEMBERS's SURNAME BOARD.
The chap who is a descendant of James FLEMING and Esther Lindsay is a member of my site already as far as I know....perhaps it would be worth making contact with him.
I too am researching FLEMING from Dromore Tyrone but you can read all about my lot at the site should you wish to browse it or join. Hope to hear from you in the future.
Happy Tree Climbing 2003....
I have a FLEMMING/FLEMING FAMILY SITE http://groups.msn.com/FLEMMINGFAMILYSITE