The best man at my wedding, an ex-Seaforth Highlander, used to sing two or three versions of this song. The fragments I can recall are as follows;

A fellah came up to me a year ago,
He said 'There's something I would like to know.
Why aren't you in khaki or Air Force blue,
Fighting for your country like the other fellahs do?'
I, of course, immediately replied,
'I'd like to have the chance, but my left leg's left in France,
I'm one of Scotland's broken dolls.

Another verse/version perhaps has the words;

Her glass eye, her false teeth she laid on the chair,
When she took her wig off, baby, she wasn't there.
She then unscrewed her arm and wooden leg,
And what was left of her hopped into bed,
And when I awoke, I found it was no joke,
I was married to a broken doll.
(Apologies for this one, but it's of its time and it's funny.)   

Any help would be appreciated.
Cheers,
Ythanside