This paper discusses the intertwine of social networks of users and social networks of Web services to compose, execute, and monitor Web services. Each network provides details that permit achieving this intertwine and thus, completing the three operations. A user social-network is used to advise users on the next Web services to select based on their peers' experiences, whereas a Web service social network is used to advise users on the substitutes to select in case a Web service fails, for example. To make the intertwine of these social networks happen, three components are developed: composer, executor, and monitor. The social composer develops composite Web services considering relations between users and the ones between Web services. The social executor assesses the impact of these relations on these composite Web services execution progress. Finally, the social monitor replaces failing Web services to guarantee the execution continuity of these composite Web services. A running example and a prototype illustrate and demonstrate the intertwine of these social networks, respectively.