Yes I'm sure they would be relatives.
When Daniel Budge arrived in Sydney on board the ship "Royal consort" he fell in love with a bounty immigrant named Elizabeth Matilda Budge , jumped ship and married her. As the authorities were looking for him he changed his name to Daniel Burge.
Please let me know the details of the Australian connection to your family.i will kepp an eye open for any info that will assist you.
My investigations currnetly go back to a Magnus Budge born in 1730 who married a Marion Dunnet who was born in 1735
Are theser people linked to your side?
Regards Jim burge