Cut unpeeled oranges and lemons into eight wedges; remove and discard seeds. Transfer oranges and lemons to a food processor; add 1 cup sugar. Pulse until finely chopped. Transfer to a large glass bowl; refrigerate, covered, overnight., Stir water into fruit mixture; transfer to a Dutch oven. Bring to a boil. Reduce heat; simmer, uncovered, 1 hour or until liquid is absorbed. Stir in strawberries and remaining sugar. Bring to a full rolling boil over high heat, stirring constantly. Continue to boil 10-12 minutes or until slightly thickened, stirring constantly., Remove from heat; skim off foam if necessary. Ladle hot mixture into hot half-pint jars, leaving 1/4-in. headspace. Remove air bubbles and adjust headspace, if necessary, by adding hot mixture. Wipe rims. Center lids on jars; screw on bands until fingertip tight., Place jars into canner, ensuring that they are completely covered with water. Bring to a boil; process for 10 minutes. Remove jars and cool.