yes re HoI see http://www.ee.surrey.ac.uk/Contrib/manx/towns/douglas/hoi.htm
but in all refs I've seen it is always referred to as House of Industry never as Braddan Poor House - I am sure I have a ref to the latter
There is Lansnon's house in Douglas (see 1831 IoM Charities) 'This house has been appropriated for the residence of several aged and infirm paupers' http://www.ee.surrey.ac.uk/Contrib/manx/fulltext/ch1831/bn.htm but cant see why referred to a 'Braddan poor house'