Sometimes my girls (ages 4+ and 2+) will chase down our wayward balls. They'll quickly get over it as they get older.
On a slightly similar path, I once got to play a match with "linesmen."
Our county high schools allow the general public to use their (very nice) courts when school's out. Some years back, on Sunday mornings, a group of Indians would play some fairly serious endeavors at the HS nearest me. I had noticed they played only one court -- sometimes singles, sometimes doubles...but always with enough onlookers to provide linesmen. I say "men" because I never saw any women.
So it came as a complete surprise to me when I was approached one morning...to be a "fourth." (My hitting partner had not showed...nor did he...hungover and overslept his alarm). The man's English was impeccable and he asked if I'd join in.
How could I resist? Few of the others spoke English...but they knew tennis...and, while serious athletes, were funny and a joy to play with.
But to the point: it was incredible to play freely, without having to watch the ground. I could, literally, keep my eye on the ball the whole time. I have since wondered how much better all us rec players might be...if we didn't have to worry about making The Correct Call...
too.
Oh how I wish...they'd asked me back.
My partner...I think his name was Ajeet (sp? 1K pardons)...and I...won our match