Answer:
To compute an adjusted odds ratio, simply fit a logistic regression model. The outcome variable is the 0-1 variable which represents case or control status. The independent variables include a particular SNP variable, as well as all the demographic variable. The odds ratio that you get for the SNP variable shows the effect of that SNP on cancer status, after adjusting for all the demographic variables.
Source: http://www.childrens-mercy.org/stats/weblog2005/AdjustedOR.asp