I have no proof that this is the family of Sarah Carroll who married Patrick Reynolds in Carfin in 1876. However, the names of the parents match hers, she was 20 in 1881, and two children here, Annie and James, were born in Shotts about the time of Sarah's marriage.
1860 Sarah Carel was born at 8h45m a.m. on Sunday, October 7 at 15 Main Street, Rutherglen to William Carel, Coal Miner and Ann Carel m.s. Loudon. Her birth was registered No.276 at Rutherglen on the following day by William "his X mark" Carel, Father, Present.
1876 On Thursday, August 17, Sarah married Patrick Reynolds at Carfin. [See Section RS-6-3 for further information.]
1881 April 3 There dwelt at 48 Calder St, Blantyre, the following family —
Rel. Mar. Age Occupation Birthplace William CARROLL Head M 58 Coal Miner Ireland Annie CARROLL Wife M 50 Ireland Mary CARROLL Daur U 18 Cotton Weaver Camnethan, Lanark Patrick CARROLL Son 16 Coal Miner Camnethan, Lanark Margaret CARROLL Dau 14 Cotton Weaver Camnethan, Lanark Elizabeth CARROLL Dau 12 Scholar Dalziel, Lanark Jane CARROLL Dau 10 Scholar Wishaw, Lanark William CARROLL Son 8 Scholar Wishaw, Lanark Annie CARROLL Daur 6 Scholar Shotts, Lanark James CARROLL Son 4 Shotts, Lanark Helen CARROLL Daur 1 Blantyre, Lanark I am suspicious of the parents' ages here, the data comes from the LDS CD and I have not yet checked it against the microfilm in the Mitchell.
1891 April 5 Maxwells Land, Blantyre. The number of windowed rooms was not visible.
Rel. Mar. Age Occupation Birthplace William Carroll
Head Mar 50 Coal Miner Ireland Annie do. Wife do. 49 do. Patrick do. Son Unm 26 do. Lanarkshire, Wishaw Jane do. Daur do. 20 House Keeper [not employed] do., do. William do. Son do. 18 Coal Miner do., do. James do. do. 15 do. do., Cleland