I found your pattern. The tray, American Rose, by Wilcox IS, was made between 1900 and before the 1930s.. Its retail value is $230 according to my retail sources.
As for the tea service, the large bowl is the waste bowl meant for extra tea leaves that were left after the tea was strained or poured.
The design was patented in 1870 by Reed & Barton. This does not mean the set was made in 1870.
The design 2507 would have been popular for long time - probably until ca 1900.
Unfortunately, plated silver value has dropped significantly in the last 20 years.
Sterling has maintained its value as people buy it for investment purposes.
Also unfortunate is the fact that some of the plating has worn off your set.
A buyer would need to have it re-silvered which can be expensive.
From my research, I am able to value the 4 pieces = teapot, creamer, sugar, and waste at $250 retail.
If you would like to sell close to retail , some ideas are:
The internet has your largest audience of buyers. Sset up your own small store on this site.
Etsy.com - small fees - 20 cents to list plus 3.5% final price.
I wish I could tell you it was worth more.
A private seller to a dealer or at auction can expect 30-60% of retail value.
I hope I have helped you.
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