You dont give any timescale - Peel (and the surrounding area) saw several industries in decline end of 19th and early 20th C
The lead mining etc declined from mid 1890's, boat construction from somewhat earlier and then fisheries declines early 2oth
There was considerable emigration from Island from 1820's onwards (the population remained stable c.55000 for many years and then declined)
Re company - suggest try Glasgow area directories for info