Contact Browning Customer Service at 1-800-333-3288 and for $39.95 they can give you a history letter that will tell you when it was made, where it went, etc.. After that, there is no way to "trace" it per se. If you think it's stolen call your local police and they might run the serial number.
A handgun
1961
See link.
A few hundred to multiple thousands depending on specifics
50-5000 USD depending on specifics
I am aware of only one chambering in the Browning hi-power,that is 9mm parabellum.
It depends on the model and condition. The best way to get a value is to check with a dealer.
100-1000 USD and up depending on specifics
A few hundred to multiple thousands depending on exact configuration, age and condition.
Your Browning Hi-Power 9mm handgun was made in the year 1959,and will bring between 300-600 dollars depending on overall condition and a good bore.
No model number. Made in 1969. High Power is what it is called
Loud