On your reference I will provide you list of GSEB English medium schools in Vadodara, so that you can go through it.

Here is the list of schools

Navyug English Medium School
Anandvan Society, Sama Road, Vadodara, Gujarat 390024
Phone: 0265 278 3855

Kelavani English Medium School
B/H Akota Stadium, Akota, IOC Naga,Haripura, Vadodara, Gujarat 390020

Bright School, Baroda
Ambalal Park Ground, Near Char Rasta ,Shreepad Nagar, Karelibaug, Vadodara, Gujarat 390006
Phone: 0265 246 6620

The Bright School
VIP Road, Opposite VIP View, Amit complex, Karelibagh, Vadodara, Gujarat 390018
Phone: 0265 248 4568

D R Amin Memorial School
Race Course, Gadapura, Near Lions Hall, Vadodara, Gujarat 390015
Phone: 0265 233 3232

Bright Day School
Harni Rd, Near Airport Hotel, Shyam Nagar, Harni, Vadodara, Gujarat 390022
Phone: 0265 248 6891

Tejas Vidyalaya
Atma Jyoti Ashram Road, Elora Park, Vadodara, Gujarat 390023
Phone: 0265 239 8086

Alembic Vidyalaya
Gorwa, Vadodara, Gujarat
Phone: 0265 229 0278