With data from the Clergy Health Initiative (CHI) Longitudinal Survey, we look for interviewer effects, differences between web and telephone delivery, and panel conditioning bias in an “important matters” name generator and interpreter, replicated from the U.S. General Social Survey. The CHI survey data on approximately 1700 respondents per wave was collected in 2008, 2010, and 2012 on all currently serving United Methodist Clergy in North Carolina with response rates of 95%, 87%, and 81%. We find evidence of phone interviewers systematically influencing the number of confidants named, we observe that respondents assigned to the web survey reported a larger number of confidants, and we uncover strong support for panel conditioning. We discuss the possible mechanisms behind these observations and conclude with a brief discussion of the implications of our findings for similar studies. This studies raises important considerations for the design of social network collection instruments and how the visual design of web surveys plays an important role in shaping responses to name generator questions.