Thanks crisane for finding this for me - I appreciate it.
After 3 years perhaps you are not following this but here goes.
Regarding the spelling, where you find written material with signatures, this family mostly used BEAKHUST.
They are my direct ancestors. In my grandfathers generation we find a first cousin marriage between a BEAKHUST, a grandson of the couple you asked about and a granddaughter surname BEAKHURST. Family tradition has it that after marriage this great uncle of mine took his wife's name, as being in business where payment by cheque was usual, his customers always wrote BEAKHURST.
So despite at least one family member being literate in early/mid 1800s, and virtually all by next generation, the name was still unstable.
A problem I have is that soundex creates a different code, though these days "variations" checked on a search usually finds both - but still not always. Sometimes variations work only one way.
Are we related? The couple you sought are my GGGGrandparents.
Dave Beakhust