Liliming  Suggested by khiro 

I found a few paid fonts that look fairly similar.

ITC American Typewriter http://www.myfonts.com/fonts/itc/american-typewriter/ (The letters aren't quite as wide, though.)
URW Typewriter http://www.myfonts.com/fonts/urw/typewriter/
Esfera NF http://www.myfonts.com/fonts/nicksfonts/esfera-nf/
Typewriter Serial http://www.myfonts.com/fonts/softmaker/typewriter-serial/
FF Elementa Pro http://www.myfonts.com/fonts/fontfont/elementa-pro/

Also, these are free from dafont:
Street Corner Slab http://www.dafont.com/street-corner-slab.font?text=GABRIELLE+APLIN
F25 Executive http://www.dafont.com/f25-executive.font?text=GABRIELLE+APLIN

I couldn't find any exact matches and I went through a total of around 50 pages of fonts both on here and MyFonts. I hope some of these are good! (:

Except the letters "L" & "E"