Hello Sterico,
Having had a quick exploration for Elizabeth (not yet her marriage or subsequent family); hope the following is of interest and relevant to your BROOKS Family:
Parish of Liverpool in the County of -- Lancashire --
Marriages at Our Lady and St Nicholas with St Anne in Parish of Liverpool
Marriages recorded in the Register for the year 1826
Marriage: 14 Apr 1826 St Nicholas, Liverpool, Lancashire, England
John Penson - Cordwainer of Liverpool to Catharine Brooks - Widow of Liverpool
Married by Banns by: John Pulford BD Curate
Register: Marriages 1826, Page 4, Entry 466 Source: LDS Film 1068891
Marriage: 5 Nov 1826 St Nicholas, Liverpool, Lancashire, England
William Shillin - Cordwainer of Liverpool to Catherine Brooks - Spinster of Liverpool
Married by Banns by: Thomas Johnson MA Curate
(Possibly the above two Catherine Brooks are widowed mother and her daughter – just a guess)
WIRKSWORTH Parish Records 1600-1900. 1861 CENSUS
http://www.wirksworth.org.uk/C61-16.htm
#4---The Field 95---[Middleton]---
Md114a. John BROOKS Head M 51 Lead miner Middleton
Md114b. Mary BROOKS Wife M 46 Lead miners wife Wirksworth
Md114c. William BROOKS Son U 21 Rail layer Wirksworth
Md114d. Mary BROOKS Dau U 17 Tape wrapper Middleton
#13---Main Street 141---[Middleton]---
Md123a. Joseph BROOKS Head M 51 M Lead miner Middleton
Md123b. Mary BROOKS Wife M 49 F Lead miners wife Wirksworth
Md123c. John BROOKS Son U 25 M Lead miner Middleton
Md123d. Jacob BROOKS Son U 20 M Lead miner Middleton
Md123e. Joseph BROOKS Son 14 M Lead miner Middleton
Md123f. Anne BROOKS Dau 12 F Scholar Middleton
Md123g. Job S BROOKS Son 9 M Scholar Middleton
#25---Main Street 154---[Middleton]---
Md135a. Thomas BROOKS Head M 60 Mine agent Middleton
Md135b. Mary BROOKS Wife M 58 Mine agents wife Ireland IRL
Md135c. Elizabeth BROOKS Dau U 26 Dressmaker Glossop
Md135d. Samuel BROOKS Son U 22 Lead miner Middleton
Md135e. Sarah BROOKS Dau U 17 Dressmaker Middleton
#27---Main Street 156---[Middleton]---
Md137a. John BROOKS Head M 24 Lead miner Middleton
Md137b. Mary BROOKS Wife M 26 Lead miners wife Wirksworth
#44---Main Street 173---[Middleton]---
Md154a. John BROOKS Head U 60 Lead miner Middleton
Md154b. Samuel BROOKS Brother U 48 Lead miner Middleton
#57---Halicans Lane 185---[Middleton]---
Md167a. Samuel BROOKS Head M 41 Lead miner Middleton
Md167b. Frances BROOKS Wife M 40 Lead miners wife Middleton
Md167c. Frances BROOKS Dau 11 Cotton spinner Middleton
Md167d. Elizabeth BROOKS Dau 4 Scholar Middleton
Md167e. Grace BROOKS Dau 8m F Middleton
Md167f. Thomas DOXEY Boarder U 19 M Lead miner Middleton
Parish of Manchester in the County of -- Lancashire -- Baptisms at The Cathedral: The Parish of Manchester
Baptisms recorded in the Register for the years 1836 - Q1
http://www.lan-opc.org.uk/Manchester/Manchester-Central/cathedral/baptisms_1836-Q1.html
Born: 14 Nov 1835. Baptism: 3 Jan 1836 Collegiate, Manchester, Lancashire, England
Elizabeth Brooks - daughter of James Brooks, Occupation: Spinner, & Mary Ann. Abode: Manchr
Baptised by: H. Fielding Register: Baptisms 1836, Page 11, Entry 86 Source: FHL 1545610
Baptism: 27 Mar 1836 Collegiate, Manchester, Lancashire, England
Sarah Brooks - daughter of George Brooks, Occupation: Millwright, & Sarah. Abode: Stockport
Baptised by: William Wilbraham Johnson M.A. Oxon Deputy Chaplain
Register: Baptisms 1836, Page 164, Entry 1309 Source: FHL 1545610
It's a bit of a mix but hope it helps at least a little.
Gemmas' pal