It looks like Eagle Book to me... but my eyes are not the same as they once were...

NOT THE FONT but similar would be

Sugar Pie http://myfonts.us/td-fvyItJ - using alternatives: http://www.myfonts.com/fonts/sudtipos/sugar-pie/sugar-pie/glyphs.html

and in some ways it is also similar to Calgary Script http://myfonts.us/td-37GP1d but you'd be better off with Sugar Pie...

It looks a lot like ITC Arid - made solid and with an extended bar across the "T"

I wish I could tell you the name - but I do not know this font. However, if you are looking for something close take a peek at Changling Neo Inline

IT'S NOT THE FONT FOLKS - just an alternate suggestion.

If you would like to have something "SIMILAR" - BUT it is not the same...

Look at Smudger

I know it's not the font - just an alternative

(and there is not font for this because a designer handlettered it.)

You may want to read an earlier post from another site about this

http://typophile.com/node/34019

A font that comes close is Speedline

As you can see - I am not sure if this is or isn't a font... I'm only offering alternatives. I know when I have a project and the font is unknown, I go for what I can and pray the client is okay with it - and you know, they normally are and the work gets done.

Condensed a bit by a human being playing on a computer.

Try it extended a bit...

and if you would like to splurge on a commercial font - Monotype's Synthetica is very close.

I don't think this is a font - after looking it over - your two "L"s do not match. There are some fonts that are similar - but NOT THE SAME... (I do that for the folks that can't read or comprehend that I am not giving you an exact font.)

On Dafont.com you can find -
Brushtip Travis: http://www.dafont.com/brushtiptravis.font?fpp=500&psize=l&text=Rally
Brushtip Terrence: http://www.dafont.com/brush-tipterrence.font?fpp=500&psize=l&text=Rally
Curly Joe: http://www.dafont.com/curlyjoe.font?fpp=500&psize=l&text=Rally

maybe one of these will be an acceptable substitute.

Your image looks like the letter is on a cloth - which distorts it... it may have been Livery Stable when it was first silk screened.

If you are looking for something similar from dafont.com - take a peek at Intellecta Bodoned Two
http://www.dafont.com/intellectabodoned-two.font?text=e

I wonder if this really is a font - or if perhaps it is a signature from Alexis.

If you are looking for something similar
(BUT NOT THE SAME folks who like to say it isn't a match - I know, I know)
you may want to play mix and match from Zapfino Extra.

Not sure but you could try (and I can't see beyond the L as to what the other letters are....)

Century Gothic Bold: http://myfonts.us/td-OLeU6y

But I think it may be Neutraface Bold Alternative

For TAXI - Fcraft is similar: http://www.dafont.com/fcraft.font?text=TAXI
and for NYC- Fear Factor Bold - http://www.dafont.com/fear-factor.font?text=NYC

SIMILAR not the same...

This should do it for you - just fatten the letters up a bit...