This proposal is part of our research programme to explore the interplay of thermal and quantum fluctuations near zero-temperature quantum phase transitions. Here we apply for a continuation experiment to measure the temperature dependence of the spin dynamics in the theoretically most studied paradigm for a quantum phase transition: the Ising chain in transverse field. We recently realized this paradigm experimentally for the first time in the quasi-1D Ising ferromagnet CoNb2O6 and in LET experiments we observed significant lineshape broadening effects with increasing temperature, however we could only collected a very limited data set. Here we plan to collect a complete data set in the vicinity of the critical field to test key predictions for universal quantum critical scaling in the Ising universality class.