The phrase "slept straight" is not correct or usable in written English.
To communicate the idea of sleeping a full night, without waking up, you could use the phrase "slept soundly". For example, "She slept soundly through the night without interruption."
In fact, she said, Jaylen slept straight through.
"She slept straight through 'The Terminator.' It was great," he insisted.
When she brought her infant daughter to visit, Ms. Talley Ross said, she slept straight through the baby's crying.
He had hoped that they would continue their conversation, but she fell asleep and slept straight through the sudden stops, the thundering starts, the potholes exploding beneath them like mortar bombs.
Immediately after arriving at Leonard Wood, which had the bleak, austere look of all Army camps, the train took off on its return trip and Frimbo was able to settle into a dormitory car, in which he slept straight through to St . Louis
So she was stunned when her son slept straight through the loud, traditional alarm.
The woman next to me, a diminutive Paraguayan named Alma, managed to curl up (sort of) and sleep straight through the flight.
Evan is 11 years old now, and his brother is 8. They've started to sleep straight through the time change (though they are bears when I try to wake them up in the spring, when we move clocks forward) and I've started to miss the morning baby sounds from the other room.
I'd go to bed when I was tired and sleep straight through until morning.
You have to sleep straight up, for a whole week in a row.
Not much interferes with it unless I get to bed too late and sleep straight through the night -- or if there's a hard rain.
