These are grand old US coins, J-Money, one of my favorites.
Catalog values for Standing Liberty Quarters start around $25 US dollars for early issues in worn condition. That changes, however, with later issues. In 1925 they changed the design a little and the post-25 coins are worth quite a bit less. Here is a summary of catalog values for the common date coins taken from the Red Book, a well known price guide for US coins. To meet these levels, coins must be free of all problems such as scratches, stains, cleanings, nicks, gouges, corrosion, and the like. Better date coins are addressed further down this page.
STANDING LIBERTY QUARTERS 1916 TO 1924
worn: $20 US dollars approximate catalog value
average circulated: $50
well preserved: $80
fully uncirculated: $160
STANDING LIBERTY QUARTERS 1925 TO 1930
worn: $8 US dollars approximate catalog value
average circulated: $15
well preserved: $35
fully uncirculated: $130
Be sure you understand what 'catalog' means by using our Terminology page.
To be worth anything, the date must show. With your coin the date has worn off, so its value is almost zero, a few dollars at most. To make matters worse, someone used steel wool to clean the coin. Collectors shudder at that thought!
NEVER CLEAN A COIN. CLEANING RUINS VALUE.
There are a few 'better dates' for the series, as follows. The values are for specimens in average circulated condition:
1918S/17: $5000 (see description below)
There is another interesting factor with SLQs: their strike. Look at the figure with the blue backaground. It shows two SLQs in uncirculated condition. The difference in appearance is not due to wear (they are both uncirculated with no wear at all), but it is due to the amount of pressure applied to the coins during the minting process. The coin with the strong strike shows all the features of the design, especially in the head of Miss Liberty. The weak strike lacks many design features.
Needless to say, coin collectors prefer the strong strike over the weak strike, and are willing to pay a premium for it. So, if you have a coin with a strong strike that shows all the features of Miss Liberty's head (use a magnifier), multiply the values above by a factor of two or more.
There is a somewhat famous variety of the 1918 SLQ. Mint officials took a shortcut when preparing dies for this variety, glomming an '8' directly over the '7' of a 1917 die. This is called the 1918S/17 variety and it commands a strong premium, as follows.
STANDING LIBERTY QUARTER 1918S/17
average circulated: $5000
well preserved: $8000
fully uncirculated: $19000 or more