"sigh on" is not a correct or usable phrase in written English.
You could use "sigh" on its own as an interjection or as a verb in a sentence, such as, "She sighed in relief."
Ann talked about how Mitt would drop everything to help a friend or a congregant, and less about how his policies would affect a stranger, and how they were like millions who "quietly help their neighbors, their churches and their communities" But is a sigh on one side and quiet charity on the other the extent of the political dialogue we're allowed?
I had to close my eyes for 10 seconds with a deep sigh on this one.
The Vacation section asked noted Americans what they expected to be reading at the beach or (sigh) on the runway.
Another HBO series, "Enlightened," partly redeemed its irritations with its habits of straying, and of lingering: on a sigh, on a glare, on a soulless office building.
"Today is Anwar's birthday and I know his mom and his sister were out there," Anthony Leone, Mr. Robinson's former bandmate, said with a sigh on Friday.
None had any effect on her worsening bouts of vomiting and delirium until Annie 'expired without a sigh' on 23 April 1851, Darwin recalled.
Meanwhile Toyota started Lexus and will soon start Scion (sigh-on), Nissan started Infiniti, Honda started Acura and BMW is launching the Mini.
"There's no better place for seeing how the Jerusalem human landscape changes," patron Pini Yossef sighed on one of the cafe's last days.
She speaks rarely, but when she does, it's with a waspish, careworn turn of phrase; "Edinburgh isn't what it used to be," she sighed, on hearing that one of last year's more ludicrous candidates attended university there.
The story in "Bridge of Sighs" turns on a triangle.
(Sighs) Come on, let's go.
