Green’s Dictionary of Slang

Tow Street n.

In phrases

be in Tow Street (v.) [SE tow, to drag; the fig. ‘street’ in which one is ‘towed’]

to be decoyed, to be persuaded (against one’s will).

[UK]Egan Life in London (1869) 268: Jerry [...] was in Tow Street with a couple of Cyprians.
[UK]G. Kent Modern Flash Dict. 34: Tow street, in, – said of a person who is being misled or decoyed.
[UK]Flash Dict. in Sinks of London Laid Open [as cit. 1835].