We present a new catalogue of radio-continuum sources in the field of the Small Magellanic Cloud (SMC). This catalogue contains sources previously not found in 2370MHz ({lambda}=13cm) with sources found at 1400MHz ({lambda}=20cm) and 843MHz ({lambda}=36cm). 45 sources have been detected at 13cm, with 1560 sources at 20cm created from new high sensitivity and resolution radio-continuum images of the SMC at 20cm from paper I (Wong et al., 2011SerAJ.182...43W). We also created a 36cm catalogue to which we listed 1689 radio-continuum sources.