Hi Kathy,
As you say, the conjunction of those names is too much to be a coincidence. The Brumells aren't really one of my research lines so I only have scant notes about them but I think I can see how your line links back to the Northumberland Brumells.
Henry Peareth Brumell (x 7 Aug 1835 Longhoughton, Northumberland) seems to have emigrated to Canada in the late 1840s or 1850s after the death of his father Hawdon Brumell (who farmed at Longhoughton) in 1845.
HPB can be seen living with his parents in the 1841 census for Littlehoughton at HO107/819 bk 18 fo 3 pg 11. There is another HPB in the 1851 census for Morpeth, Northumberland but this is his cousin, son of John Brumell, who was x 6 Jul 1820 at St. Peter's Liverpool.
'Your' HPB can be seen in the 1861 census for York, Toronto where he is following the Brumell family trade of chemist/druggist (the Northumberland Brumells all seen to have been lawyers, chemists or farmers). [Roll C-1108, page 7]. At this point he is still unmarried but 10 years later, he can be seen [1871, Roll C-1198, page 48, family 173] with wife Emily and among his children, a son called Henry, born c1863, who I assume is either your great or great x 2 grandfather.
The connection of your Brumells to the Peareths works as follows:
As seen above, HPB b. 1835 was the son of Hawdon Brumell and Mary Blackett (b. c1806 Berwick) who married just over the border from Northumberland, i.e. in Jedburgh, Scotland, on 23 Jan 1825 : 'Howden Brumwell [sic] of Houghton in the parish of Longhoughton, Northumberlandshire and Mary Blackett in this parish' (ref Scotlandspeople, Jedburgh OPR, Roxburghshire).
While there is a Hawdon Brumell x at Longhoughton in 1809, son of Henry Peareth Thomas Brumell, I believe your direct line ancestor (based on his rounded-down age of 55 in the 1841 census) to be the Hawdon Brumwell b 22 May 1782 and x 19 Jul 1782 at St. Nicholas, Newcastle upon Tyne ... son of Hawdon Brumell and Dorothy nee Peareth.
Hope that helps to fill in the gaps...
Regards,
Jon