  The association of quantum Griffiths singularity (QGS) to the
magnetic-field-induced superconductor-metal transition predicts the
unconventional diverging behaviour of dynamical critical exponent in low
disorder crystalline two-dimensional superconductors. But whether this state
exists in the superconducting systems exhibiting superconductor-insulator
transition remains elusive. Here, we report the emergence of quantum Griffiths
singularity in ultrathin disordered TiN thin films with more than two orders of
magnitude variation in their normal state resistance. For both
superconductor-metal transition and superconductor-insulator transition types,
a diverging critical exponent is observed while approaching the quantum phase
transition. Further, the magnetoresistance isotherms obey a direct activated
scaling governed by an infinite-randomness fixed critical point. Finally, this
work establishes the robustness of the QGS phenomenon towards a wide range of
temperature and also towards a wide range of disorder strength as correlated
with the normal state resistance.
