I have a lot to share on the Tibby family. I have done something of a one name study on this elusive bunch.
Mine went from Wendover Bucks (UK) to London.
Most of them were bakers. They had shops in London in the mid to late 1800s.
Other Tibbys were in Shropshire, and there is almost certainly a link between them all.
Please if you have Tibbys (Tibbeys) in your line, do get in touch.

Thanks