Thousands of different kinds of bills were printed during and immediately after the Revolutionary War. Without more information it's not possible to make an evaluation.
Because many of these bills have been counterfeited over the years you should have it inspected in person by an expert who deals in Colonial and Revolutionary-era US currency.
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In choice crisp uncirculated condition, it's worth about $250
well-worn = $45 lightly worn = $120 crisp uncirculated = $250 ... as of 12/22/09
That is a tough one. Perhaps your mean 1917 or 1918. No two dollar bills were printed for 1914. However, here are the prices in average condition. 1917 - $50 1918 - $250
Your bill should also have a large eagle above the pictures of Lincoln and Grant. If so, your bill is usually called a "black eagle note". Without knowing its condition and which signature combinations are on your bill, it's difficult to estimate a value. The most common ones sell for $45 to $150 if circulated, and $250 to $400 if uncirculated. Given those price ranges, your bill would have to be examined in person by a knowledgeable dealer or appraiser to get a more specific value.
As of July 2013, the value of a 1896 1 US dollar is between $15 and $250. The actual value depends on the condition of the coin and the overall demand from collectors.