Capt. Steve,
Carnmoney ... taverns ... BIGGER men ...
[Click,click, click: The Whuttle awakes!]
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Sounds like you need a 1940s Street Directory ...
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"Toppy toosy" certainly sounds like a local colloquialism.
Perhaps a manifestation of that well-known Ulster custom,
endemic in the area:
"Having a little tease with The English!"
(as she is spoken ...)
Possible original candidates might have been:
1) Top (of the) Toun;
2) Two Tops (or Taps).
There is also a "letter agent" named TOPLEY in one of the Belfast directories.
Maybe it was his "Shank's pony" short cut over the hill?
The track that TOPLEY's tootsies trod!
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Much amused by "Topsy Turvy" thoughts.
[Think Commander G deserves a prize for his clever discovery!]
I recalled the film "Topsy Turvy".
About an era in Gilbert & Sullivan's collaboration.
[However, I only got as far as finding a Mount GILBERT to the West of Belfast (named for an early Vicar?) ... "Tripping gaily over mountain" ... but could only match it with a school in Hollywood for SULLIVAN. ]
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The townland of Hightown (Glengormley), part of Carnmoney parish, used to be known as Biggerstown.
[Presumably 'cos the BIGGERs bigged lots of wee hooses there ... ?]
The family apparently came over from Nithsdale in Scotland in 1648.
James BIGGER was a United Irishman who fought at Antrim in 1798.
This effort erupted out of "The Trench" at Mallusk.
His brother David BIGGER lived there.
He was one of the founders of RBAI, and grandfather of the famous Francis Joseph BIGGER who, in a colourful life, found time to support strange concepts like Tee-Total pubs ...
Ref 1: "Carved in Stone".
Ref 2: "Mallusk Memorials" 0-9524698-1-2, July 1997 £5 (then)
Produced by a power of physical work and genealogical research by some stalwarts from the Belfast Branch of the NI FHS.
The latter contains a small section of the BIGGER family tree.
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I can put you in touch with a man who claims to know "everything" about Carnmoney (even more then W.F.McKINNEY!), but I think that he charges for his time these days ...
Capt. Jock