Hello,
I came across this thread when I typed "Margaret Beveridge Bernard" into google. 
Was anyone ever able to confirm the parents & grand-parents of Margaret Beveridge (who married Andrew Bernard) ? 
(I see you have her listed in the thread above:
"Margaret Beveridge 
Daughter
ABT 1811
Shotts, Lanarkshire, Scotland
19 JAN 1888
Dunfermline, Fife, Scotland     m. Andrew Bernard")
Edited incase this helps anyone:
I finally found her death! 19 Jan 1888, Dunfermline, listed as Margaret "Bardner" instead of Bernard.
marriage for her parents: 22nd July 1804, James Beveridge & Margaret nee Beveridge. I think this marriage was mentioned earlier in this thread, and someone said it had been rebuked?
Anymore information or advice for researching this tree would be much appreciated.
Cheers!