Seems like she is suffering from periodontitis which is marked by gradual destruction of tissues surrounding the teeth.. Growing spacing between front teeth can be sign of pathological migration which happens because of periodontitis

Regular teeth cleaning/ultrasonic scaling is recommended for every individual every 6 months. It is the only way to maintain healthy teeth and gums.

Visit dentist and get scaling done. Then after 4weeks visit dentist and check for periodontal pocket if necessary dentist periodontist will advise for flap surgery. If possible visit periodontist who specializes in gum disease treatment.

As per your age, your mom might be above 65 years. With added features like diabetes, age, etc  to the deposits present, it would have caused bone loss. This leads to space in between the teeth getting large. Please check for mobility, if it is greater mobility then extract and go for FPD or implant ( if no health issues). If there is slight mobility go for professional cleaning and splinting those teeth. After stabilization, go for periodontal therapy  to preserve other teeth

Hello Looking at the above condition it can be that patient is suffering from periodontal disease... There is definitely treatment for this... First a full mouth X-ray should be done...and the first step is get a tooth cleaning done