What font is used in the 'Lincoln' and 'Coffee House' parts of this image. I'm assuming they are the same font.

Bebas  Suggérée par pilaster 

The distressing is not part of the font (eroded in different places on the 'L's and 'N's). Between the distortion and the size of the Coffee House portion of the sample it's difficult to be 100% but you could do worse for a match than…

Thanks Pilaster, looks pretty good to me.

You're welcome