Remington offered the 11 from about 1911 to 1948, when it was replaced by the 11-48, a modernized streamlined version.
The 11 saw service in World Wars I and II, served as a mainstay for market gunning and was widely regarded as a sturdy, dependable weapon and tool.
Best example I've seen for sale recently looked very good and had a $300 tag. Beaters go for about $150-200.
If you plan on shooting yours, a checkout by a qualified smith is needed. He/She can tell if it's chambered for modern shells and can handle being shot.
A fiber buffer in the receiver will need replacing. A new one is available from Brownell's. Most Browning A5 parts will NOT interchange, but the frictions pieces and springs will. Buy a set, install them and keep the old ones as spares.
Lots of us have had these as family guns, including me, A cousin has one I gave him. He's quite happy with it.