Green’s Dictionary of Slang

pissing place n.

1. the penis.

[UK]Rowlands Humours Ordinarie F3: His Spectacles doe in copper case, Hang dangling neere about his pissing place.
[UK]J. Phillips Maronides (1678) VI 133: To this great Luck shall much conduce, / Th’engendering tool of Romulus; / So numerous shall be the Race / Proceeding from his pissing-place .

2. the vagina.

[UK]Wandring Whore V 6: This yong Enamorato out of spight, reports she had no C-- and scarce a pissing place.
[UK]J. Phillips Maronides (1678) VI 79: So many men in such disgrace / And all for a Whores pissing place.