Green’s Dictionary of Slang

ballum rancum n.

also ballum-rankum, ballum ranorum, balum rancum
[balls n. (1) + pun on SE ball, a dance + rank, rancid]

1. an orgy, lit. a dance at which all concerned ‘dance in their birthday suits’ (Grose, 1796).

[[UK]T. Duffet Psyche Debauch’d Act I: Now if that you’l walk in to close up all, We’l have a most Serene and clear Rank Ball].
Dryden Mr Limberham Act V: Fresh Wenches, and Ballum Rankum every night.
[UK]Otway Atheist I i: [He makes] a very good odd Man at Ballum-rancum or so; that is, when the rest of the Company is coupled, will take care to see there’s good Attendance paid; and when we have a mind to make a Ballum of it indeed, there is no Lewdness so scandalous that he will not be very proud to have the Honour to be put upon.
[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Ballum rancum, a hop or dance, where the women are all prostitutes, a dance at a brothel.
[UK]Lex. Balatronicum.
[US]R. Waln Hermit in America on Visit to Phila. 2nd Ser. 30: Come, boys, for a cruise? [...] ripe for funhot-water conventions or Ballum Rancums.
[UK]‘Jon Bee’ Dict. of the Turf, the Ring, the Chase, etc. 6: Ballum-rankum — a hop or dance of prostitutes naked.
[UK]G. Kent Modern Flash Dict. 4: Ballum ranorum, a hop, or a dance, where the women are all prostitutes.
[UK]Flash Dict. in Sinks of London Laid Open [as cit. 1835].
[US] ‘Scene in a London Flash-Panny’ Matsell Vocabulum 99: But I’m flush of the balsam now, for I dance balum-rancum for the bens.
[UK]B.M. Carew Life and Adventures.
[US]Trumble Sl. Dict. (1890).
[Aus]Crowe Aus. Sl. Dict. 6: Ballum Rancom, a social composed of thieves and flash women.
[US]Sun (NY) 10 July 29/4: Here is a genuine letter written in thieves’ slang, recently found by the English police [...] When we get off the swag and get our rewgulars we will go to the Bullum rancum next week.

2. (US prison) an all-underworld dance.

[US](con. 1950-1960) R.A. Freeman Dict. Inmate Sl. (Walla Walla, WA) 5: Ballum-Rancum – a shindig where all the participants are thieves and prostitutes.