No, just put your name.
I did a character reference for a friend who was starting up her own business.
My Address at the top of the letter.
I started it "To Whom It May Concern"
I have known Mrs. Freda Bloggs for X number of years. She is starting her own business called XXXXX. She will be ...................................
I have no doubt she will be very popular with all her clients, as she ...............
I have no hesitation whatsoever in recommending Freda, as she is reliable, trustworthy, and .............................................
...
and I wish her every success in her new venture.
My name.
you don't need to put yours faithfully, truly or anything else.