The phrase "a blubbering" is correct and usable in written English.
It can be used to describe someone who is crying or sobbing uncontrollably, often in an emotional context.
Example: "After hearing the news, she was a blubbering mess, unable to compose herself."
Alternatives: "a sobbing" or "a weeping".
If I'd left early, I would have been a blubbering thing sitting on the curb in the parking lot — the way I can be only in private, or sometimes, when he's being nice, with Armando.
A blubbering Mr. Cutts tried to persuade the world that he was so spooked after "accidentally" killing his girlfriend Jessie Davis, 9 months pregnant at the time and the mother of his 2 year old son, that he wrapped up her body, and dumped her in a national park, all the while abandoning his toddler son at the murder scene.
It will leave parents a blubbering mess either way.
To the vast amusement of the onlookers, Thomas collapses midsong into a blubbering heap.
There is a "Wizard of Oz" figure in Nim Galuu (Steven Tyler), a blubbering, absent-minded yellow caterpillar whose scrolls record the forest's history.
When Driver confronts the last man on his death list, a blubbering tent-show evangelist and former criminal (Adewale Akinnuoye-Agbaje) who has turned his life around, the tone of "Faster" turns ludicrously histrionic.
Even the macho Mayor, Rudolph W. Giuliani, has been unable to resist a little blubbering.
If they want to be a snotty, blubbering mess all day, let them.
You half expect Sam Worthington, as the marine, to curl into a ball and start blubbering like a baby.
"If you're a blubberer, fine, but do it in the privacy of your own bathroom".
Whaling nations have amassed a blubber mountain, despite desperate measures, such as mixing the stuff into dog food.
