Guess watch model no FA1140

worth where on earth, not the same in all places ever.
google it, in your country and click , show sold items left column
or google the earth for vast other auctions. (endless job)

I expect the battery will be where it is to be found in most other watches. Remove the back of the case and the battery should be fairly simple to access.

I have this kind of watch and I can’t get the back off to change the battery

http://www.watchesonsaleusa.com/ellagodrwaeg10.html

i use a razor and a hammer.or send to me watchrepairbattery.com

You pop the 'crown' out (dial) then turn it till correct time, then push it back in. It's on E-how, depending on the type of watch, or how many dials it has, the directions may change.
Link: http://www.ehow.com/how_6134550_set-date-time-geneva-watch.html

mcdevito75 here, Elgin a great name in watches, usually the back of the watch is base metal while the bezel or fron of the watch is plated, almost any jeweler can give an approx. value to your watch, of couse it"s age and condition count for alot.

I have a Japan MOVT watch given to me by my daughter. The battery died and i have not worn it in some time. I got the battery replaced now i can't set the digital time or the date, etc. What is the procedure?

Enquire with either a Pulsar dealer or a watchmaker they may be able to get it for you. If you have a trade supplier near you they may also be able to order one if available.

It is real. Manufacture in China is cheap and many of brand names are manufactured there.
Japanese movt is right and real as well as these are mass produced for many different brand names.