At first glance, 'Bowen Bombay' would appear to refer to the prominent missionary George Bowen. However he died on the 5th of February, 1888:
http://query.nytimes....DA90994DA405B8884F0D3
So it seems likely that the watch was a gift from an organisation named in his honour. A likely candidate is the Bowen Memorial Methodist Church in Bombay (now Mumbai):
http://www.flickr.com...06301@N08/4181233266/
So it's possible that Rev H Ingham was a long-serving (or retiring) minister of the church, who received the watch in recognition of his service.
The present church minister, Rev W G Kunder, probably has access to the church's records, which will be able to confirm or disprove my theory. Perhaps you could write to him? Contact details are here:
http://www.waymarking...t_Church_Mumbai_India
Chris