If she is regularly chatting to you and asking questions about your day-to-day activities, or even more personal affairs, it's a very positive sign that she's interested in you.
This may seem difficult to pinpoint at first, as it varies greatly between person-to-person, along with the fact that older single women may be more hesitant than their younger counterparts.
Having older single women attracted to younger men is very common in the dating scene.
Numerous good reasons exist for why young men become the target of older single women, often referred to as 'cougars.' Many older single women above their 40's may become less sexually active during their later years, or feel disenchanted after previously failed marriages.
While analyzing the periods of conversation between you two, consider how these interactions occur in the first place.