The Zakah that you paid in the way indicated in the question is not sufficient to discharge your responsibility of paying Zakah. It is counted as a Sadaqah (voluntary charity) that you have given to the people of your village. You are still obliged to pay Zakah and spend it on the categories of Zakah recipients which are mentioned in the Saying of Allah:
As-Sadaqât (here it means Zakât) are only for the Fuqarâ’ (poor), and the Masâkin (needy) and those employed to collect (the funds), and to attract the hearts of those who have been inclined (towards Islâm), and to free the captives, and for those in debt, and for Allâh’s Cause, and for the wayfarer (a traveller who is cut off from everything)
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.