to me the following coin looks very much proof in the fields, but i can not find any proof s barber quarters for that year
That's because none were minted.
It's not a proof coin. It's a circulated, business strike coin with EF-AU details that appears to have been at least partially holed (look at the reverse) and might also have been polished.
San Francisco did not make Proofs then.
I was thinking exactly what @TomB said and want to add retoned.
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Not a proof coin and - as noted above - partially 'holed' on the reverse.... Looks XF, low AU.... Cheers, RickO
Experts have spoken, it is what they say it is, sorry if you had higher expectations on this one.