I would guess this as a K frame pre model 10 38 special it has the half moon sight and pencil barrel look inside the crane for any numbers if it's later it will have the model number there if it is earlier it will not but my guess is an early model. M&P 38 unfortunately I am a novice not an expert
^as stated gun is likely 1922-29; the grips are target style of 1968 or later. The correct grips will be non-medallion style. You don't state where this piece comes from..... Simply buying the 1905 S&W of your desire will be far simpler than "restoration".