Various events involve a dating agency run by Sid Bliss (Sid James) and his longtime girlfriend Sophie Plummett (Hattie Jacques). Their "Wedded Bliss" agency purports to bring together lonely hearts using computer-matching technology, but couples are actually paired up by Sophie. Bliss consistently avoids marrying Sophie, enthusiastically pursuing Esme Crowfoot (Joan Sims), a seamstress and client who consistently rejects his advances.