Do I qualify for H2B bonus?

ref2468

Slightly strange scenario which I cant seem to find an answer...

My partner bought a house in 2005 with her then partner who has now passed away. Since then she has remained with the same mortgage provider but would now like to re-mortgage to a better deal.
Bought: £155k
Now worth: £220k approx
Equity remaining: £130k

My partner earns £22k basic but with overtime this comes to 35k+ (consistently for the past few years). We are due to get married next year and are looking at the process of how I get added to the mortgage. I earn £26k basic (£32k with bonuses).

I am however a FTB and in January opened a H2B ISA which now has the maximum £2000. As in theory this is a re-mortgage would the government bonus still count?

Any suggestions what to do in this situation would be most appreciated.