Not as many Hal(l)fords in the Cambusnethan cemetery records as I was expecting. There are still Hallfords in the Craigneuk district of Wishaw.
This is what I found in the cemetery records, all dates are of interment.
JANET HALLFORD. Wishaw, aged 30 minutes.
Parents - Richard Hallford & Janet Burns.
Interred in public ground, 25th September 1908.
EDWARD LAFFERTY. Wishaw, aged 1 year & 4 months.
Parents - Edward Lafferty & Sarah Halford.
Interred in public ground, 20th April 1914.
BARBARA HALLFORD, housewife, aged 55 years. Craigneuk.
Parents - Thomas McKay & Hannah Young.
Interred in plot E188. 25th January 1908.
THOMAS W. DYAS, Castlehill View, aged 2 years.
Parents - George Dyas & Harriet Hallford.
Interred in public ground, 24th June 1908.
MARGARET WHITE. Wishaw, aged 11 months.
Parents - James White & Elizabeth Hallford.
Interred in public ground, 15th April 1909.
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From the 1923-25 Wishaw Street Directory.
HALLFORD EDWARD, cement worker, 51 Berryhill Row.
HALFORD THOMAS, labourer, 5a Carfin Road.
HALLFORD THOMAS, 63 Scotts Row. (not in the 1925 section).
HALLFORD R. Willowbank Terrace, Alexander St. (not in the 1925 section).
HALLFORD THOMAS, labourer, 5 Stenton Cottages.
From the 1911 Motherwell Street Directory, Craigneuk Section.
HALFORD THOMAS senior, puddler, 20 English Buildings, Craigneuk.
HALLFORD THOMAS, 34 English Buildings, Craigneuk.