I stumbled across the surname index produced by Chesterfield & District FHS, which is loaded to the Derbyshire County Council web page. These are the results for Goucher & Goacher.

GOUCHER

Arthur Goucher Bapt 8th June 1901
Source – Chesterfield Parish Magazine July 1902
Notes – St Peters Calow

Cyril Goucher Bpt 8th Feb 1928
Source – Chesterfield Parish Magazine Mar 1928
Notes – Parish Church

Irene Goucher Marriage 4th June 1918
Source – St Thomas’s Church Brampton Parish Magazine Jul 1918
Notes – James Wilcock

John Goucher Bpt 28th June 1936
Source – St Thomas’s Church Brampton Parish Magazine August 1936
Notes – Son of Walter & Gladys

Lily Goucher Burial 5th Feb 1902
Source – Chesterfield Parish Church Magazine March 1902
Notes – Age 10 months. St Peter’s Calow

Lily Goucher (twin) Baptised 24th April 1901
Source – Chesterfield Parish Church Magazine August 1901
Notes – St Peters Calow

Lucy Florence Goucher Baptism 14th Jan 1901
Source – Chesterfield Parish Church Magazine Feb 1901
Notes – St Peter’s Calow

May Goucher (twin) Baptism 24 April 1901
Source – Chesterfield Parish Church Magazine Aug 1901
Notes – St. Peter’s, Calow

Reginald Goucher Married 29 December 1920
Source – St Thomas’s Church Brampton Parish Magazine Feb 1921
Notes – Winifred Ethel Hubbard

Selina Goucher Bap 14 Jan 1901
Source – Chesterfield Parish Church Magazine Feb 1901
Notes – St. Peter’s, Calow

Thomas Goucher Baptism 6th Jan 1901
Source – Chesterfield Parish Church Magazine Feb 1901
Notes – St Peters Church Calow

Thomas Arthur Goucher Baptism 25th April 1926
Source – Chesterfield Parish Church Magazine July 1926 Parish Church

Walter Goucher
Source – Newbold & Dunston Child Census 1893
Notes – P 51 Pottery Lane

William Levi Goucher Baptism 10th March 1901
Source – Chesterfield Parish Church Magazine April 1901
Notes – St Peters Calow

GOACHER

Beatrice Annie Goacher
Source – Census of Child Population 1892
Notes – Vol 8, P 26, Derby Street

Florence Goacher
Source – Census of Child Population 1892
Notes – Vol 3, P 99, Lordsmill Street

Irene Goacher Marriage 26th April 1924
Source – St Thomas’s Church Brampton Parish Magazine June 1924
Notes – Frank Westbrook

John Thomas Goacher
Source – Census of Child Population 1892
Notes – Vol 3, P 99, Lordsmill Street

Levi Goacher
Source – Census of Child Population 1892
Notes – Vol 8, P 26, Derby Street

Thomas Goacher
Source – Census of Child Population 1892
Notes – Vol 3, P 99, Lordsmill Street