A 1914 double eagle in circulated condition has retail values of $1,420.00-$1,890.00 depending on the grade of the coin
About $325, for its gold content.
Retail is $178.00-$350.00 for a circulated coin
If it has a blue seal, $55 to $70 If it has a red seal, $400 to $1000. In this case you should get a couple of competing appraisals.
$600.00 to $675.00 in circulated condition
The first $20 Federal Reserve Notes were dated 1914. Please check your bill again and post a new, separate question.
About $325, for its gold content.
Retail is $178.00-$350.00 for a circulated coin
Please check your bill again and post a new, separate question. No $1000 FRNs were dated 1914.
If it has a blue seal, $55 to $70 If it has a red seal, $400 to $1000. In this case you should get a couple of competing appraisals.
$600.00 to $675.00 in circulated condition
The first $20 Federal Reserve Notes were dated 1914. Please check your bill again and post a new, separate question.
If it has a red seal, it might retail for $200-$500 if circulated, up to $1350 if uncirculated. If it has a blue seal, circulated is $35 to $55, uncirculated, $100.
$178.00-$360.00 are the current values for circulated coins
Please check your bill again and post a new, separate question with the bill's denomination. The first $1 Federal Reserve Notes were printed in 1963. 1914-dated FRN's were printed in denominations of $5 through $100.
A 1914 Five dollar Indian by itself is worth about double its gold value, depending on its condition. The bezel holding the coin will be worth its gold value. If the coin is soldered into the bezel , this will damage the coin, reducing its collector value, but it should still be worth more then the gold content. I don't think the coin in bezel would have any additional value unless the bezel was an ornate antique.
Please don't assume that every old bill is a silver certificate. 1914 $20 bills were issued as Federal Reserve Notes, not silver certificates. There's more information at the question "What is the value of a 1914 US 20 dollar bill?".
Please check your bill again and post a new, separate question. The Federal Reserve System wasn't established until 1913 and the first Federal Reserve Notes are dated 1914.