If my "old lady" died, I would want a replacement pretty smartish..OR one already primed and lined up e.g a mistress, BUT..not for marriage nor would i want her to live with me.
Women often come with a load of "baggage"...kids, grandchildren etc. HOWEVER, i would take her out for dinner (occasionally) take her for weekends to hotels and maybe a cruise or two.
I return i would ask for my bed to be made, cook me a meal now and again and always look presentable ( as was the deceased) sex would be essential .......but we would live separately.