Richard Heaton has digitized and placed online the UK Police Gazette of 1899 and 1900. It was a magazine produced in London from 1772 onwards, for circulation among all the police forces of Britain. Its primary purpose was to publish notices of wanted criminals with requests for information, and, where appropriate, to offer rewards. (Click on the image to the right to view a larger version of one page extracted from the UK Police Gazette.)
Obviously, if your ancestors were criminals, they might be mentioned. However, the same magazine also often mentioned the names of victims as well as police officers, magistrates, attorneys, and eyewitnesses. You may find your non-criminal ancestors mentioned as well.
As stated by Wikipedia.org, "The Police Gazette records the history of crime; the role of the police; and major social events such as the 'Transportation' (deportation of criminals) to Australia. The many references to personal names - of missing persons, criminals, army deserters and those deported and imprisoned - make it an important source for genealogy when census and marriage records prove insufficient."
The "Last Chance To Read" web site makes available a searchable collection of thousands of pages of scarce British and Irish newspapers and other publications, most of which were printed between the years 1710 and 1900. Pricing varies but typically can be from £2 ($3.08 US) or £3 ($4.62 US) per newspaper (per document) or £1 per page upwards, with a minimum order of £5 per transaction. Some newspapers are completely free to download.
You can find all this at http://www.lastchancetoread.com/.