Yes, it is a name, short for William, though I’m not sure how Bill was derived from William.
As you know, like many words this one has several other meanings, like,
A bird has a bill, particularly those birds with webbed feet
A bill is something you are sent to pay for goods or services, and often turns up when least expected, or when money is tight
And, sadly, they are never-ending.
Then there’s fit the bill, which means it is suitable.
It could also be a list of people who appear in a program.
It is used to describe banknotes, such as a twenty-dollar bill.
It could be a waybill, used for the consignment of goods.
It could also be a piece of legislation introduced into parliament.
In some places in the world, it could be the peak of a cap
But the most obscure use of the word bill goes to the point of an anchor fluke.