This site: https://en.wikipedia.org/wiki/Honiara_Central_Market
says she was owned by Shortland Shipping Company but I can't find any further leads from there. The Japanese characters on pieter's photo are extremely unclear. I agree with Lappino that it's probably "No.11 something something maru" but the 2 "somethings" are too corroded to read

She seems to be the subject of a years long debate how to get rid of her and expand the market place behind. Her owner is rumoured to have some links with the government.

Rather true comment written by some fellow right side of the funnel !

No. 11 - - Maru...

Smartphone screen is too small to allow the proper view of the two characters befor "Maru".

I found this picture, perhaps it is good enough for someone knowing Japanese characters

http://www.wolffchronicles.com/wp-content/uploads/2016/08/20160825-20.jpg