Patrick and Hannah

Hi , I am Hannah Nevill. Here is a little about me, cryptic style

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Across:

2. Clue for WINTERCLIMB (11)

3. Clue for BAYES (5)

5. than rose scattered in atlantic (5, 3)

6. Clue for GITHUB (6)

Down:

1. bro have you tried __(2)

4. Small beheaded flying empire (8)