Vernalisation usually refers to a chilling process to encourage seeds to germinate.
if you are asking about flowering then flower initiation is due to long nights/short days and light wavelength in far red end of the spectrum. Temperature is less important.

A. Belated thank you been hospitalised

Oh dear, hope you are now recovering well and will be fit and ready to garden soon.

where about in Tyne and Wear are you? I'm from Sunderland originally hence my avatar name. don't worry I am not a stalker ;o)