Others who frequent this forum are better qualified to identify the original woodtype fonts used on this poster.

Some digital options for recreating the central type:
http://www.typography.com/fonts/champion-gothic/styles/ [Lightweight]
http://www.myfonts.com/fonts/flat-it/rama-gothic/ [Heavy]

The look of the type at the top and bottom of the poster could also be replicated using Rama Gothic Condensed Bold, Champion Flyweight, or one of the following:
http://www.myfonts.com/fonts/itc/roswell/ [Standard Three]
http://www.typography.com/fonts/knockout/styles/ [46 Flyweight]

England 1908 -- the _1D_ means one pence and confirms the location.
This would have been a large scale font, perhaps wooden, inspired by the model of the Grotesque types that had been in use since Thorowgood's Grotesque of 1832. Stephenson Blake's various Grotesque font's may have been the source. Grotesque No. 9 http://www.identifont.com/show?62O is similar to the main heading, but is slightly too wide.
The original specimens of the grotesques released by Stephenson Blake were used by David Berlow and others to produce a series for Font Bureau called Bureau Grot. http://www.identifont.com/find?font=Bureau+Grot&q=Go
But none of these is an exact match.
For the light weight condensed type you might consider the rather similar, but slightly too wide, DTD Silvertone Woodtype

http://www.myfonts.com/fonts/thometz/silvertone-woodtype/
which is based on Ludlow 6-EC Gothic Extra Condensed woodtype.
Sorren Bold, a neo-grotesque from 2012, is surprisingly close and would be my recommendation as a substitute
http://www.myfonts.com/fonts/reserves/sorren/
Still looking for a closer match to _WELCOME CHRISTABEL PANKHURST_.
Don

Reforma Grotesk Bold, based on the letterforms of Russian pre-1917 hand composition typefaces

http://www.myfonts.com/fonts/paratype/reforma-grotesk-bold-e/ is a very good match for the letterforms.
EDITED:
But it is too light.
Don

I think that Rama , as Kevin mentioned, is a better digital match than Reforma, M is closer etc.

Rama Gothic Heavy


Like Reforma Bold it has generally matching letterforms. Rama Gothic Heavy is closer to the weight than Reforma Bold but is narrower.
Still no perfect match.
Don

Thanks so much everyone, this has been very helpful!

For a really close match it's necessary to make the letters from scratch, as I did in this little exercise

Tinkering with some of the suggested fonts might also work, but in my opinion the result it would perhaps be a poorer match than designing new letters.
Don