They definitely work Terry, especially with a scalfe over the top.
I wanted a wooley knitted one instead of fleece and found one on Fleabay for around nine quid, it's quite big and gives you the option of doubling over your head and pulling up tight enough to be able to cover your lower face with one loop whilst the other sits nicely over your chest, or just throw it over your head once and tuck in the excess to use similar to a scalfe but without the hassle of loose ends flopping out when you don't want 'em to.
Funnily enough I brought mine a few weeks ago after sitting head on to a biting wind... would this be as a result of your session today by any chance?
Either way yep, go for it... well worthwhile.