OK, found some stats. Wikipedia sources http://unmarriedwithchildren.net/ for Sweden, the UK and France has having 56%, 42% and 48% respectively of newborns being born to unmarried persons, though that page itself has no sources. Moreover, two of the countries in question don't have laws which allow same-sex couples to be married. You also haven't demonstrated that there is a causal connection between gay marriage and those stats, even assuming they were valid.
Your statement about the adoption agencies has some errors in it. The case your thinking of is in Illinois, which does not yet have same-sex marriage, though it does have civil partnerships. Moreover, they were not forced to shut down: their contract with the state for their adoption and placement services was not renewed. When they left, another organisation picked up their slack and continue to place these children (who were wards of the state, btw) in foster homes.
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