To live in Queer Street. To be of doubtful solvency. To be one
marked in a tradesman's ledger with a quaere (inquire), meaning,
make inquiries about this customer.
That has put me in Queer Street.
That has posed or puzzled me queerly. In this phrase queer means to
puzzle; and Queer Street = puzzledom.
Source: Dictionary of Phrase and Fable, E. Cobham Brewer, 1894