Brockley Central is reporting that the Horniman (along with seven other museums) will lose all funding from Central Government in 2015 and would be expected to be funded by the local council or the private sector.
This evening I tried to understand the finances of the museum, which seem to suggest the government currently contributes £4.5m per year to the Horniman. It seems unlikely that, when trying to save £60m, Lewisham council would be able to cover such a cost and this would place the future of the Horniman in real danger.