If you're lucky you'll find them mentioned in Manor Court Records or Chancery cases (see discovery.nationalarchives.gov.uk and aalt.law.uh.edu; further indexes available on SoG, findmypast).
The Journal of the Friends' Historical Society. (archive.org, f-h-s.org.uk)
A Collection of the Sufferings of the People Called Quakers, by Joseph Besse (archive.org,
http://esr.earlham.edu/dqc/) (modern fascimiles published by Sessions Book Trust, try local library)
also see
https://quakerstrongrooms.org/2012/06/06/quaker-sufferings-records-an-embarras-de-richesse/ PCC Wills & Administrations, 1701-1750 (microfiche only)
PCC Administrations, 1751-1800 (SoG Online)
PCC Administrations, -1660 (British Record Society, findmypast)
Wills not published online:
Royal Peculiar Court of St Katherine's by the Tower (formerly Guildhall Library, now LMA)
Court of the Peculiar of the Dean and Chapter of Westminster (Abbey) (Westminster Archives)
Failing that wills of more distant relatives or fellow quakers.
London Lives, 1690-1900 (
www.londonlives.org)
Connected Histories (
www.connectedhistories.org)
British History Online (british-history.ac.uk)
London Records Society (londonrecordsociety.org.uk)
Hearth Tax Online (hearthtax.org.uk)
The Records of London's Livery Companies Online (ROLLCO), Apprentices and Freemen 1400-1900 (
www.londonroll.org)
Boyd's Inhabitants of London and Boyd's Family Units (findmypast, SoG)
Register of Duties Paid for Apprentices' Indentures, 1710-1811 (findmypast, Ancestry, SoG)
London, England, Freedom of the City Admission Papers, 1681-1925 (Ancestry)
London Apprenticeship Abstracts 1442 - 1850 (findmypast)
Records of various Livery Companies' Apprentices (findmypast)
John Strype's Survey of London Online (
www.hrionline.ac.uk/strype)
Various Poor Law and Workhouse Records for London and Westminster (findmypast, Ancestry)
Either the national or regional Catholic Record Society as they may have published volumes concerning recusants and dissenters.
LaRocca, J. ed., Jacobean Recusant Rolls for Middlesex, Catholic Record Society, Record Series, 76 (1997)
http://catholicrecordsociety.co.uk/wp-content/uploads/2015/05/CRS-Records-Series.pdfhttps://www.genguide.co.uk/source/recusant-rolls-catholics/3/Marriage Licences:
London, England, Marriage Licences, 1521-1869 (Ancestry)
London and Surrey, England, Marriage Bonds and Allegations, 1597-1921 (Ancestry)
Faculty Office (archive.org, findmypast, Ancestry, SoG)
Vicar General (archive.org, findmypast, Ancestry, SoG)
The last two are sometimes only searchable by last name only. The archive.org copies will have extensive extracts but will not be complete for the years quoted. The others are indexes only.
If your ancestors held the position of yeoman or even a trade like butcher there's a slim possibility they were educated at Oxford, Cambridge or Dublin; see
ACAD - A Cambridge Alumni Database
http://venn.lib.cam.ac.uk/Documents/acad/2016/search-2016.htmland findmypast for the Dublin records.