Sure look like Damascus
Understand one thing - depending on its condition - and this needs to be done by someone who KNOWS old double guns - it might be shootable with light low pressure Vintager loads from the like of Polywad or similar, but ONLY after it has been checked for weakness, etc.
The Vintager loads are used by many folks who shoot older guns (some dating from the mid 1800s), and there are groups who get together for fun competition and shoot them.
If yours checks out OK, you might look into that - great to meet others who share the same passion and a great way to make connections for parts, etc.
“I know that you believe you understand what you think I said, but I'm not sure you realize that what you heard is not what I meant.” - Robert McCloskey