BBC Wiltshire reports that the Reds trio will link up with the County Ground promotion hopefuls on season-long deals.
The Robins suffered heartbreak in the League One play-off final last season, losing to Preston North End 4-0 at Wembley.
But now, Town boss Mark Cooper looks to have moved to add the talented youngsters to his squad, as they look to go one better next season.
Defender Stewart was sent out on loan twice last season to then League Two side’s Cheltenham Town and Burton Albion, where he impressed and helped the Brewers to secure promotion to League One.
Williams will revisit the third tier having played in the division last season for a brief spell with Notts County.
He made eight appearances as they suffered relegation to League Two.
The move will be a first of his career for creative attacking midfielder, Kent, who has impressed greatly while playing for the Reds U21 side and signed a long-term contract at Anfield in March.