Hi Alfy,
I don't have the records for 1901 - 1906. There may be Greers aplenty in them!
Here's what I found.
THOMAS GREER, Iron puddler, Wishaw, aged 48 years, married.
Parents - Humphrey Greer and Mary Leslie.
Interred in public ground, 4 December 1907.
MARY GREER, housewife, Wishaw, aged 50 years, widow.
Parents - John Docherty and Flora Buchanan.
Interred in section E - 2093. 8th August 1915.
Lair owner - James Greer, coalminer, 6 Castlehill Feus Wishaw.
MARGARET SPROATT, housewife, Wishaw, aged 39 years, married.
Parents - Humphrey Greer and Mary Leslie.
interred section E - 1753. 26 November 1908.
Lair owner - Andrew Sproatt, steelworker, 14 Castlehill Feus Wishaw.
ROBERT H G SPROTT, Castlehill Feus, aged 24 days.
Parents - Andrew Sprott and Margaret Greer.
Interred in public ground. 17 October 1908.
WILLIAM BLACKLEY, Wishaw, aged 2 weeks.
Parents - William Blackley and Mary Greer.
Interred in public ground. 26 July 1910.
MARION FINLAY BLACKLEY, Wishaw, aged 9 months.
Parents - William Blackley and Mary Greer.
Interred section E - 2093. 19 May 1915.
THOMAS GREER, Wishaw, aged 7 months.
Parents - John Greer and Mary L Smith.
Interred in public ground. 21 March 1915.
JOSEPH S GREER, 52 Castlehill Feus Wishaw, aged 6 months.
Parents - John Greer and Mary Smith.
Interred in public ground 23 August 1916.
Hope that helps you Alfy, note the change of spelling with Sprott. One of the Blackley infants are in the same grave as Mary Doherty, so Mary must be her daughter.
In the 1922-25 Wishaw directory there is a James Greer at 49 English Street.
In the Overton section there is an A. Greer at 52 Castlehill Feus, and T. and E. Greer at 18 Castlehill Feus. These, I think, would be adult males eligable to vote.
The only Greer in all of the 19th century burial records I have is - ELIZABETH MILLIGAN, Wishaw, aged 58 years, widow.
Parents - James Docherty and Isabella Greer.
Interred in common ground 9 February 1880.
I'm glad you think I'm of some use on this site, not everyone does! I passed an honest opinion on the Scotland -General page about the Momento-Mori website and boy did I get insulted. it's a great pity no one seems to be monitoring these pages.
Good luck with your Campbells, I'll keep a look-out for them.