We present Q-U-I JOint TEnerife ( QUIJOTE ) intensity and polarisation maps at 10 - 20  GHz covering a region along the Galactic plane 24 ^ { \circ } \mathrel { \hbox { \hbox to 0.0 pt { \hbox { \lower 4.0 pt \hbox { $ \sim$ } } } \hbox% { $ < $ } } } l \mathrel { \hbox { \hbox to 0.0 pt { \hbox { \lower 4.0 pt \hbox { $ \sim$ } } } \hbox { $% < $ } } } 45 ^ { \circ } , |b| \mathrel { \hbox { \hbox to 0.0 pt { \hbox { \lower 4.0 pt \hbox { $ \sim$ } } } \hbox { $ < $ } } } % 8 ^ { \circ } . These maps result from 210  h of data , have a sensitivity in polarisation of \approx 40 \mu K beam ^ { -1 } and an angular resolution of \approx 1 ^ { \circ } . Our intensity data are crucial to confirm the presence of anomalous microwave emission ( AME ) towards the two molecular complexes W43 ( 22 \sigma ) and W47 ( 8 \sigma ) . We also detect at high significance ( 6 \sigma ) AME associated with W44 , the first clear detection of this emission towards a SNR . The new QUIJOTE polarisation data , in combination with WMAP , are essential to : i ) Determine the spectral index of the synchrotron emission in W44 , \beta _ { sync } = -0.62 \pm 0.03 , in good agreement with the value inferred from the intensity spectrum once a free-free component is included in the fit . ii ) Trace the change in the polarisation angle associated with Faraday rotation in the direction of W44 with rotation measure -404 \pm 49  rad m ^ { -2 } . And iii ) set upper limits on the polarisation of W43 of \Pi _ { AME } < 0.39 per cent ( 95 per cent C.L . ) from QUIJOTE 17 GHz , and < 0.22 per cent from WMAP 41 GHz data , which are the most stringent constraints ever obtained on the polarisation fraction of the AME . For typical physical conditions ( grain temperature and magnetic field strengths ) , and in the case of perfect alignment between the grains and the magnetic field , the models of electric or magnetic dipole emissions predict higher polarisation fractions .