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[ABRIDGED] AIMS: The MONOS project is collecting information and studyingO-type spectroscopic binaries with delta > -20 deg. In this 2nd paper, wetackle the study of the 35 single-line spectroscopic binary (SB1) systemsidentified in the previous paper of the series (arXiv:1904.11385) by analyzingour data and reviewing the literature orbits of such systems. METHODS: We havemeasured the radial velocities for the ~700 spectra in our database using twodifferent methods: Gaussian fitting for several diagnostic lines per object andcross-correlation using synthetic spectra. We also explored the TESS databaseand analyzed the light curves for 31 of the systems. RESULTS: We have confirmed21 SB1 systems, discarded the binary nature of 6 stars (9 Sge, HD 192 281, HDE229 232 AB, 68 Cyg, HD 108 and \alpha Cam), and left 6 stars as inconclusivedue to lack of data. The remaining two stars are 15 Mon Aa which has beenclassified as SB2, and Cyg OB2-22 C, for which we find evidence that it is mostlikely a triple system where the O star is orbiting an eclipsing SB1. We havealso recalculated 20 new orbital solutions, including the first spectroscopicorbital solution for V747 Cep. For Cyg OB2-22 C we have obtained newephemerides but no new orbit.

MONOS.II. Orbit review and analysis for 35 single-lined spectroscopic binary systems and candidates