'working on obtaining' is correct and usable in written English.
You can use it when you are referring to the process of trying to attain something. For example: 'I am working on obtaining my driver's license.'.
Meanwhile, she is working on obtaining data on the statue's pate from digital photographs.
It said it was working on obtaining new financing to get back in the air.
"We need permissions from various departments and are working on obtaining them".
To date, we are still working on obtaining permission to repatriate all of the remains so as to properly identify and recover lost Airmen.
The family is working on obtaining autopsy reports from the Peruvian authorities and getting Mr. Demas's body returned to the United States.
"Concur giving tear gas cannisters and gas masks... working on obtaining machine guns," reads a CIA memo dated October 18 1970.
Robert A. Wood, a State Department spokesman, said Sunday, "The Swiss ambassador continues to work on obtaining information from Iranian authorities regarding the three Americans".
This division works on obtaining and designing high-explosive materials and components and has production and testing units.
A spokesman for Sky News said police "absolutely knew" the emails - which it passed to officers working on the Darwin case - were obtained by hacking.
"We have been working with Loudeye on obtaining content since October 2002 and Loudeye assured us on multiple occasions that the content they provided to us was prepared fully under authorization from the record labels and on behalf of the publishers".
It is also working on saffron, now obtained mainly from crocuses grown in Iran.
