Conventional temperature monitoring is based on measurement of off-resonance via gradient-echo phase scans for non-adipose tissue. MRF with quadratic RF phase (MRFqRF) simultaneously quantifies off-resonance, T1, T2, and T2*. For a proof of principle thermometry experiment with MRFqRF, an ex-vivo aqueous sample was heated with laser ablation, temperature was tracked, and multiple continuous MRFqRF scans were obtained with different temporal resolutions. Scanner frequency drifts were removed automatically with Independent Component Analysis. Residual changes in off-resonance predict the temperature change. However, MRFqRF temporal resolution (~10s) needs to be increased further for clinical relevance.