Well, put it this way... He had three daughters named Anne -- that he acknowledged.
Thing is, the man dropped the F-bomb in his works.... Take, for example his "Ode to Spring":
When maukin bucks, at early f***s,
In dewy grass are seen, Sir,
And birds, on boughs, take off their mows
Among the leaves sae green, Sir;
Latona's sun looks liquorish on
Dame Nature's grand impetus
Till his p***k go rise, then westward flies
To roger Madame Thetis.
(Rather appropriately, I just realized, "maukin" is a variant of "malkin" which was Scots dialect for several off-color things.)
And there you go.
Standards change.
Shakespeare was pretty blue as well.
As Americans, we really didn't get the current stick up our collective butts until the Victorian era.