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Convolvulaceae family

Evolvulus convolvuloides
(Willdenow ex Schultes) Stearn
, Taxon 21(5-6): 649:  1972.
Bas.: Nama convolvuloides Willdenow ex Schultes (1820). 

Indigenous common low trailing herb of dry coastal savanna and rocky open spots.
Anguilla, St. Martin, St. Barthélemy, Antigua, St. Kitts, Guadeloupe, La Désirade, Marie Galante, Martinique, St. Lucia, St. Vincent, the Grenadines, Grenada, Barbados, Bahamas, Greater Antilles (Puerto Rico), Virgin Islands, Mesoamerica, South America.
Very similar to Evolvulus nummularius.  
E. convolvuloides has a longer (1cm. plus) flower pedicel, unlobed petals, and flowers more lilac/blueish
.