Pandas lookup value in a range in another table

In the example below, I am trying to check if the "value" in table 1 is within the range of values ​​for the "start" and "stop" columns of a row in table 2 . I want to return the type of "fruit" if the value is in that range. The method in between seems to be able to accomplish this, but not sure how to apply it to a row of another table. Note that I need to use a large dataset to perform this task, and methods outside the pandas library can be used.

sample code

df1 = pd.DataFrame({'Date': {0: '06-01', 1: '06-02', 2: '06-03', 3: '06-04'},
                   'Value': {0: 3, 1: 7, 2: 9, 3: 16}, })

df2 = pd.DataFrame({'Start': {0: 1, 1: 6, 2: 11, 3: 16},
                    'Stop': {0: 5, 1: 10, 2: 15, 3: 20},
                    'Fruit': {0: 'Apple', 1: 'Orange', 2: 'Pear', 3: 'Mango'},})

Table 1

    Date  Value
0  06-01      3
1  06-02      7
2  06-03      9
3  06-04     16

Table 2

    Fruit  Start  Stop
0   Apple      1     5
1  Orange      6    10
2    Pear     11    15
3   Mango     16    20

Table 1 Desired output

    Date  Value  Fruit
0  06-01      3   Apple
1  06-02      7  Orange
2  06-03      9  Orange
3  06-04     16   Mango