I hope you'll use the gun, but there appears to be significant oil soaking at the head of the stock, and the gun would benefit from a full disassembly, check and cleaning the action, careful measurements of the barrel wall thickness, and some attempt to de-oil the wood followed by either glasbedding or cyanoacrylate impregnation. If an acetone bath is used, the stock will require refinishing.

Some barrel clean up ideas are at the beginning here
https://docs.google.com/document/d/1EGInyr3CsRadXkmTYRak4TWK-pCB3cN5Wgg51u_SnEM/edit

A very wise observation
"A lot of nice old guns have had their value destroyed by good intentions and overly aggressive cleaning."

https://sites.google.com/a/damascusknowledge.com/www/home