I've tried wading through page after page of Google hits for 'Toachim'. (Yes, I know it's crude but it can quite often be effective).
The only references to 'Toachim' as a forename (rather than as a surname) seem to be almost exclusively
German. Perhaps the name is/was a German variation on 'Joachim' which is, of course, a Jewish name but which finds its way into Christianity through the possibility of it being the name of Christ's grandfather. (Maternal, for obvious reasons!):
http://en.wikipedia.org/wiki/Joachim
Googling 'Brathering' immediately throws up hits showing it to be German for fried herring. Since the English surname 'Herring' is derived from someone being a dealer in herring, it doesn't seem unreasonable to suspect that 'Brathering' has similar roots as a German surname. ('Brathering' does not appear in Reaney & Wilson's 'A Dictionary of English Surnames', which adds further credence to the suggestion that it has foreign origins).
So a Jewish link might seem to be tenuous at best, but a German one seems to be extremely likely.
Chris