Plz help!!! fFrom Fresh talent visa to HSMP dependant visa

Hi,
Iam a resident from India. I came to UK on student visa and finished my masters in scotland and got visa on fresh talent scheme,where i can work only in scotland but can reside anywhere in UK. I got married recently to a dr working in england who is on HSMP visa. We came back a couple of days ago. Iam in UK rt now. Now i would wish to change from my current fresh talent visa to HSMP dependant visa. I would like to know if i can apply from UK or is it mandatory i should go back to my own country to get in done??? I would also like to know if marriage certifcate is sufficient to prove that v r married or is it that the name of my spouse must be mentioned in my passport???? I shall be very much obliged if anyone can help me with this query...Thanks in advance.