Thank you all for your help in advance. Here is the font I am searching for. I have used all the website which search it for you and match but non of them worked.
Waiting for responses
It is probably entirely hand made, consisting of individual shapes rather than a typeface; no letter shape is used more than once.
I thought the same once but it is a font. So, if you can name a matching font, It will be appreciated.
I disagree with Jacob. Although I can't identify the specific font, I'm
sure that it IS based on a font. The extra flourishes (for example the
ornate "L" and the final 'n') may have been added graphically or may be
an alternate glyph if the font has an extended character set. Possibly
even from a different but related font.
Do you have any font in mind which matches this font?
The closest I found was Ceriga (ITC and others) - but while it has some
similarities, it's certainly not the font. I also couldn't find a better
image of the Connecticut inn's logo than you posted. Maybe someone ...