Just putting a spanner in the works here, especially as this is something I haven't quite got in to yet, BUT, the Dougherty family, under various spellings of course, arrived in Andreas before 1600, and settled there, before some of them moved on to Jurby. They were in these two parishes for some long time before they started to move around the island. Your spelling, after the Balla, equate to some I have seen of Dougherty. Maybe this is something I should be looking at?