Assuming that you may still visit this board, here's the info that I have.
My research points to (so far) that my great-grandfather's dad was John Thomas Judge (b about 1832 and married to Ann / Annie Mattimo), and was most likely a brother to Brown Judge.
While I am still researching the connection, I recall reading somewhere that Brown and John (Thomas) had daughters born one month apart, and named the same (Mary). That seems to match with what I have found on my great-grandmother's death certificate.
I have Mary Ann Judge (daughter of Brown and Sarah) listed with a birth date of 17 June, 1869 in Old Cumnock, Scotland.
Other info I have on Sarah (Phillips) Judge: b: 21 Aug, 1843 in Ireland (Derry?) d: 17 Oct, 1920 in Hamilton Township, Pennsylvania
Brown: b: 25 Aug, 1842 in Ireland d: 5 Apr, 1919 in Hamilton, Pennsylvania
There is a lot of info available online (Ancestry.com) on Brown and Sarah.