In essence, any medically researched study is only as good as the people who do the study and the methodology used for such study -- the people and means test, I call it. Good, sound, reputable clinical studies, overall, are published in medical (psychiatric) or psychological peer review periodicals, most of which are not published on the internet (for free). That means the general public does not have access to such materials and must, therefore, use other means to obtain such information (as well as an ability to understand and analyze such scientific information). Your local public library may have such periodicals, call them and inquire. Or your local college may have such periodicals, call them and inquire as to that as well as your access to them. Another avenue is your local public law library, call them and inquire.
All that said and done, here's what I've found by googling these terms, "gay parent" OR "homosexual parent" child OR children (entered all at one time, not separately):
http://www.csun.edu/~psy453/harm_n.htmhttp://www.colage.org/research/facts.htmlhttp://www.pivotalresearch.com/display_article.asp?article=5549I am not recommending these (above) websites as containing relevant or credible information since I've not researched the contents of these webpages.
However, I can recommend the contents of this website (American Psychological Association's overview re this issue) at:
http://www.apa.org/pi/parent.htmland I quote from it, below:
"D. Conclusion
In summary, there is no evidence to suggest that lesbians and gay men are unfit to be parents or that psychosocial development among children of gay men or lesbians is compromised in any respect relative to that among offspring of heterosexual parents.
Not a single study has found children of gay or lesbian parents to be disadvantaged in any significant respect relative to children of heterosexual parents. Indeed, the evidence to date suggests that home environments provided by gay and lesbian parents are as likely as those provided by heterosexual parents to support and enable children's psychosocial growth." http://www.apa.org/pi/parent.htmlhttp://www.apa.org/pi/l&gbib.htmlhttp://www.apa.org/pi/l&gref.html.