I’ll preface this with I have depression as well, but have it under control with my meds. 

I met this wonderful woman. We’ve been dating for a few weeks now. She has depression - her husband died after a multiple year battle and then her son died a few months later. I’ve been to her house a few times and by the ilks of it, I’ll will be many more. She’s gone as far was buying a dog bed for my dog. She is obviously neglecting the upkeep and cleaning due to it. 

Would it be appropriate for me to ask if I can help with some cleaning and repairs? I’m retired so I have plenty of time on my hands and she works from home three days a week so I could be working on stuff while she is there without cutting into our quality time. Any advice would be appreciated.