Yes, Torrington Lancashire IS CERTAINLY Tottington, Lancashire.
I had to research the following:
1851 Moston – John Isherwood, 33, Coal Miner of ‘Torrington’ Lancs &
Martha (Ramsden) 40, with dau Alice, 9 & brother Thomas, 49, Coal miner, married, but wife not present.
ISHERWOOD, ALICE RAMSDEN
GRO Reference: 1842 J Quarter in SALFORD Volume 20 Page 844
Marriage: 3 Dec 1838 St Michael and All Angels, Ashton under Lyne, Lancashire, England
John Isherwood - (X), full, Collier, Bachelor, Town
Martha Ramsden - (X), full, Spinster, Town
Groom's Father: William Isherwood, Carter
Bride's Mother: Sally Ramsden, Spinster
Witness: Thomas Grimshaw; William Armitage
Married by Bans by: Geoe. Wd. Bower
Register: Marriages 1837 - 1839, Page 175, Entry 350
Source: LDS Film 1550973
Baptism: 14 Jun 1818 Emmanuel, Holcombe, Lancashire, England
John Isherwood - Son of William Isherwood & Sally
Born: 12 Apr
Abode: Hawkshaw Lane
Occupation: Weaver
Baptised by: W. Holt
Register: Baptisms 1813 - 1820, Page 76, Entry 605
Source: Original Parish Register at Manchester Archives
Baptism: 8 Jan 1805 St Anne, Tottington, Lancashire, England
Thomas Isherwood - Son of William Isherwood & Sally
Born: 8 Nov 1804
Register: Baptisms 1799 - 1812
Source: LDS Family Search
Baptism: 1 Aug 1807 Emmanuel, Holcombe, Lancashire, England
James Isherwood - Son of William Isherwood & Sally
Born: 13 Feb 1807
Abode: Hoyles
Register: Baptisms 1796 - 1812, Page [51]
Source: Original Parish Register at Manchester Archives
Baptism: 31 Mar 1810 St Anne, Tottington, Lancashire, England
Ralph Isherwood - Son of William Isherwood & Sally
Born: 7 Jan 1810
Abode: Tottington
Register: Baptisms 1799 - 1812
Source: Private Transcription
Baptism: 26 Dec 1812 St Anne, Tottington, Lancashire, England
Rachel Isherwood - D. of William Isherwood & Sally
Born: 17 Oct 1812
Abode: Tottington
Register: Baptisms 1799 - 1812
Source: LDS Family Search
Baptism: 22 Jul 1815 St Anne, Tottington, Lancashire, England
Nelly Isherwood - daughter of William Isherwood & Sally
Born: 20 May 1815
Abode: Quarlton
Occupation: Labourer
Baptised by: Thos. Wade
Register: Baptisms 1813 - 1818, Page 46, Entry 365
Source: Original Parish Register
Baptism: 21 Sep 1820 St Anne, Tottington, Lancashire, England
William Isherwood - son of William Isherwood & Sally
Born: 9 May 1820
Abode: Hawkshaw Lane
Occupation: Labourer
Baptised by: Thos. Wade
Register: Baptisms 1818 - 1823, Page 40, Entry 315
Source: Original Parish Register
Burial: 3 Jan 1821 St Anne, Turton, Lancashire, England
William Isherwood - Son of William Isherwood & Sarah
Age: 6 months
Abode: Tottington
Buried by: James Spencer Curate
Register: Burials 1813 - 1830 from the Bishops Transcripts, Page 80, Entry 638 Source: LDS Film 1545461
Baptism: 7 Sep 1822 Emmanuel, Holcombe, Lancashire, England
William Isherwood - Son of William Isherwood & Sally
Born: 23 Jul
Abode: Hawkshaw Lane
Occupation: Labourer
Baptised by: W. Holt
Register: Baptisms 1820 - 1835, Page 48, Entry 378
Source: Original Parish Register at Manchester Archives
Baptism: 7 Sep 1825 St Anne, Tottington, Lancashire, England
Sarah Isherwood - daughter of William Isherwood & Sally
Born: 18 Aug 1825
Abode: Brooksbottom
Occupation: Labourer
Baptised by: Thos. Wade
Register: Baptisms 1823 - 1838, Page 57, Entry 449
Source: LDS Family Search
Burial: 7 Feb 1827 St Anne, Turton, Lancashire, England
Rachel Isherwood - Daughter of William Isherwood & Sarah
Age: 14
Abode: Tottington
Buried by: James Spencer Curate
Register: Burials 1813 - 1830 from the Bishops Transcripts, Page 147, Entry 1176 Source: LDS Film 1545461
Marriage: 3 Jan 1803 St Mary the Virgin, Bury, Lancashire, England
Wm. Isherwood - (X), Husbandman, Bachelor, this Parish
Sally Jackson - (X), Spinster, this Parish
Witness: Jas. Isherwood, (X); Thos. Crompton
Married by Banns by: Richard Hood Minr.
Register: Marriages 1802 - 1812, Page 35, Entry 137
Source: LDS Film 0559158
From the above, is is utterly evident that the birthplaces were TOTTINGTON on the census - Holcombe being in Tottington Lower End District and hard by Turton parish in Bolton-le-Moors
The 'rr' replacement for 'tt' is quite common in Lancashire - 'Lorra, lorra laughs' Cilla Black, being a clear example!