never filled in the FLR but we filled in spouse jobbie and the ILR and full name would be her new married name as thats now her legal title unless she wishes to use her old name. But best to go with whats ever on the passport and utlity bills and banks accounts statements which you have been saving ready for your ILR (start early mate its worth it for less hassle nearer the date).
Any other names you can put her old full name there, which is what we did.